Vocabulary

  • think of: To look on as (being something specific); consider
  • in time: Eventually; after a period of time.
  • depending on: To rely on for support (financial or emotional)
  • side with: To support one person or group against another in a disagreement.
  • by itself: Alone; without help or assistance.
  • with time: As time passes; eventually.
  • have to: Must do
  • consist of
  • in reality: Actually; in fact; truly.
  • deal with
  • at once: Immediately; without delay
  • bring in: To earn a certain amount of money or profits
  • write down: To record in writing
  • in fact: Used to emphasize the truth of a statement, especially one that contrasts with or contradicts something else.
  • order in: To request food from a restaurant to be delivered to one's home or other location.
  • go beyond: To do more than planned or expected; exceed
  • goes well: To happen in the way desired
  • constant: Happening frequently or without pause
  • term: Conditions applying to an agreement, contract
  • force: Group of persons trained for military action; army
  • general: Widespread, normal or usual
  • distinct: Clearly different in nature from something else
  • reality: What is true, as opposed to what is imagined
  • bit: Device put in a horse's mouth to control it
  • function: Social event, or party such as a wedding
  • ordinary: Normal or usual
  • reach: To come to or arrive at a goal or destination
  • series: Set of stories or articles on a particular subject
  • formula: A mathematical or scientific rule
  • direction: When someone tells people what to do
  • external: Concerning foreign countries
  • parallel: To be equal to, or like, something else
  • involve: To have or be included as a part of something
  • integral: Being an essential part of something; necessary
  • pretty: Being attractive to the eye in a simple way
  • infinite: Being very large in amount
  • subject: The person, thing, or idea that is being discussed, described, or studied.
  • couple: To join something to something else
  • mass: Religious ceremony in some Christian churches
  • equation: Mathematical statement showing things to be equal
  • accuracy: Being exactly right; correctness
  • explicitly: Clearly; specifically
  • solution: Mix of a liquid and a solid or a gas
  • goal: Something you try to do or achieve; an aim
  • root: Emotional connection with a place, history etc.
  • lot: What happens to a person in life from chance; fate
  • depend: Be controlled or determined by (someone/something)
  • single: One run in cricket or a hit baseball
  • decay: To be slowly destroyed by natural processes; rot
  • order: Religious or social group, as of nuns
  • integration: Act of bringing things together into a whole
  • learn: To get knowledge or skills by study or experience
  • system: Set of organized, planned ideas that work together
  • simple: Not hard to understand or do; not complex
  • multiply: To increase in number by reproducing/having babies
  • chance: The way something happens without planning
  • fortunate: Having good luck
  • exponential: (Of an increase) at a faster and faster rate
  • algebra: Math using letters or symbols in place of numbers
  • slope: Angle of a decline, e.g. where a road dips down
  • acceleration: Increase in the speed or rate of something
  • partial: Giving better treatment to one person than another
  • linear: Made of lines
  • cube: Solid object that has six square sides
  • chalk: To draw or write something with chalk
  • derivative: Not from original ideas; from somewhere else
  • linearly: With straight lines
  • oscillate: To keep moving back and forth many times
  • numerical: Concerning or involving numbers
  • vector: Math a quantity that has both size and direction
  • symmetric: Having parts that are exactly the same
  • molar: Tooth with broad biting surface used for grinding
  • coefficient: Number by which another number is multiplied
  • differential: Different, as in treatment; discriminatory
  • blackboard: Board that someone, e.g. a teacher, writes on
  • nonlinear: Not in a line or straight progression
  • omega: Last letter in the greek alphabet
  • sine: Angle's ratio of side opposite hypotenuse
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  • not found vocabularyNo vocabulary matches your filters
    • acceleration

      US /ækˌsɛləˈreʃən/

      UK /əkˌseləˈreɪʃn/

      • Uncountable Noun
      • Increase in the speed or rate of something
      • The rate at which the speed of something increases.
      B1
      More
    • accuracy

      US /ˈækjərəsi/

      UK /ˈækjərəsi/

      • Uncountable Noun
      • Being exactly right; correctness
      • The degree to which something is close to the true value.
      A2TOEIC
      More
    • algebra

      US /ˈældʒəbrə/

      UK /ˈældʒɪbrə/

      • Uncountable Noun
      • Math using letters or symbols in place of numbers
      C1
      More
    • at once

      US /æt wʌns/

      UK /æt wʌns/

      • Adverb
      • Immediately; without delay
      • At the same time; simultaneously
      A2
      More
    • blackboard

      US /ˈblækˌbɔrd, -ˌbord/

      UK /ˈblækbɔ:d/

      • Noun
      • Board that someone, e.g. a teacher, writes on
      B2
      More
    • bring in

      US /brɪŋ ɪn/

      UK /briŋ in/

      • Phrasal Verb
      • To earn a certain amount of money or profits
      • To add person into existing group, e.g. phone call
      A1
      More
    • by itself

      US /baɪ ɪtˈsɛlf/

      UK /bai itˈself/

      • Adverb
      • Alone; without help or assistance.
      • Without any external influence or aid.
      A2
      More
    • chalk

      US /tʃɔk/

      UK /tʃɔ:k/

      • Transitive Verb
      • To draw or write something with chalk
      • Uncountable Noun
      • Hard white powder used for drawing on boards
      • Soft white rock made of limestone
      B1
      More
    • coefficient

      US /ˌkoʊɪˈfɪʃnt/

      UK /ˌkəʊɪˈfɪʃnt/

      • Adjective
      • Number by which another number is multiplied
      B2
      More
    • consist of

      US /kənˈsɪst ʌv/

      UK /kənˈsist ɔv/

      • Phrasal Verb
      A2
      More
    • constant

      US /ˈkɑnstənt/

      UK /'kɒnstənt/

      • Adjective
      • Happening frequently or without pause
      • Remaining the same over time or not changing.
      • Noun
      • Thing that happens always or at a regular rate
      • A physical quantity that is believed to have a fixed value and is used in calculations.
      A2TOEIC
      More
    • couple

      US /ˈkʌpəl/

      UK /'kʌpl/

      • Transitive Verb
      • To join something to something else
      • (Two animals) to engage in sexual relations
      • Noun (Countable/Uncountable)
      • Two people in a romantic relationship
      • Two of something; two people; a pair
      A2
      More
    • cube

      US /kjub/

      UK /kju:b/

      • Noun
      • Solid object that has six square sides
      • Transitive Verb
      • To cut food into the shape of small cubes
      • To multiply a number by itself three times
      B2
      More
    • deal with

      US /dil wɪð/

      UK /di:l wið/

      • Verb (Transitive/Intransitive)
      • To buy or sell goods or services.
      • Phrasal Verb
      • To take action to solve a problem or manage a situation.
      • To be about; concern.
      A1
      More
    • decay

      US /dɪˈke/

      UK /dɪˈkeɪ/

      • Intransitive Verb
      • To be slowly destroyed by natural processes; rot
      • To lose health or strength
      • Uncountable Noun
      • Slow loss of physical or mental health
      B1
      More
    • depend

      US /dɪˈpend/

      UK /dɪˈpend/

      • Verb (Transitive/Intransitive)
      • Be controlled or determined by (someone/something)
      • To rely on someone or something for support, help, or existence.
      B1TOEIC
      More
    • depending on

      US

      UK

      • Phrasal Verb
      • To rely on for support (financial or emotional)
      • Influenced or determined by.
      • Preposition
      • Subject to; contingent on
      • Relying on someone or something for support or assistance.
      A2
      More
    • derivative

      US /dɪˈrɪvətɪv/

      UK /dɪˈrɪvətɪv/

      • Adjective
      • Not from original ideas; from somewhere else
      B1TOEIC
      More
    • differential

      US /ˌdɪfəˈrɛnʃəl/

      UK /ˌdɪfəˈrenʃl/

      • Adjective
      • Different, as in treatment; discriminatory
      • Relating to or based on a difference; involving derivatives.
      • Noun
      • A gear to let back wheels spin at different speeds
      • An infinitesimal change in a variable; a derivative.
      B2
      More
    • direction

      US /dɪˈrɛkʃən, daɪ-/

      UK /də'rekʃn/

      • Noun (Countable/Uncountable)
      • When someone tells people what to do
      • Describes the way you are going, e.g. North
      A2TOEIC
      More
    • distinct

      US /dɪˈstɪŋkt/

      UK /dɪˈstɪŋkt/

      • Adjective
      • Clearly different in nature from something else
      • Clearly noticeable; easily perceived.
      A2
      More
    • equation

      US /ɪˈkweʒən, -ʃən/

      UK /ɪˈkweɪʒn/

      • Noun (Countable/Uncountable)
      • Mathematical statement showing things to be equal
      • Complex set of different facts, ideas or issues
      B1
      More
    • explicitly

      US /ɪk'splɪsɪtlɪ/

      UK /ɪk'splɪsɪtlɪ/

      • Adverb
      • Clearly; specifically
      • Directly and unambiguously expressed or stated.
      B1
      More
    • exponential

      US /ˌɛkspəˈnɛnʃəl/

      UK /ˌekspəˈnenʃl/

      • Adjective
      • (Of an increase) at a faster and faster rate
      C1
      More
    • external

      US /ɪkˈstɚnəl/

      UK /eksˈtə:nl/

      • Adjective
      • Concerning foreign countries
      • Concerning the outside of something; outer
      A2
      More
    • formula

      US /ˈfɔrmjələ/

      UK /'fɔ:mjələ/

      • Noun (Countable/Uncountable)
      • A mathematical or scientific rule
      • Plan, rule or method for doing or making something
      A2TOEIC
      More
    • function

      US /ˈfʌŋkʃən/

      UK /'fʌŋkʃn/

      • Noun
      • Social event, or party such as a wedding
      • Mathematical operation used in calculations
      • Intransitive Verb
      • To serve a certain purpose or role
      • To be operating, working or achieving its purpose
      A2TOEIC
      More
    • go beyond

      US /ɡo biˈɑnd/

      UK /ɡəu biˈjɔnd/

      • Phrasal Verb
      • To do more than planned or expected; exceed
      A1
      More
    • goal

      US /ɡol/

      UK /ɡəʊl/

      • Noun (Countable/Uncountable)
      • Something you try to do or achieve; an aim
      • (Sports) net into which you put a ball to score
      A2TOEIC
      More
    • goes well

      US

      UK

      • Phrasal Verb
      • To happen in the way desired
      • Intransitive Verb
      • To be successful or satisfactory; to turn out favorably.
      • To be harmonious or matching; to look good together.
      A1
      More
    • have to

      US /hæv tu/

      UK /ˈhæv tə/

      • Auxiliary Verb
      • Must do
      A1
      More
    • in fact

      US /ɪn fækt/

      UK /in fækt/

      • Adverb
      • Used to emphasize the truth of a statement, especially one that contrasts with or contradicts something else.
      • Used to introduce a more detailed or surprising piece of information.
      • Phrase
      • Used to emphasize the truth of a statement, especially one that is surprising or contrary to what might be expected.
      C1
      More
    • in reality

      US /ɪn riˈælɪti/

      UK /in riˈæliti/

      • Phrase
      • Actually; in fact; truly.
      B2
      More
    • in time

      US /ɪn taɪm/

      UK /in taim/

      • Adverb
      • Eventually; after a period of time.
      • Not late; with enough time to spare.
      • Phrase
      • Eventually; before it is too late.
      • According to the scheduled time; punctual.
      A1
      More
    • infinite

      US /ˈɪnfənɪt/

      UK /'ɪnfɪnət/

      • Adjective
      • Being very large in amount
      • Without an end; limitless; endless
      B2
      More
    • integral

      US /ˈɪntɪɡrəl, ɪnˈtɛɡrəl/

      UK /ˈɪntɪgrəl/

      • Adjective
      • Being an essential part of something; necessary
      • Being an essential part of something.
      • Noun
      • A function whose derivative is a given function.
      B1
      More
    • integration

      US /ˌɪntɪˈɡreʃən/

      UK /ˌɪntɪ'ɡreɪʃn/

      • Uncountable Noun
      • Act of bringing things together into a whole
      • The finding of an integral.
      B1
      More
    • involve

      US /ɪnˈvɑlv/

      UK /ɪn'vɒlv/

      • Transitive Verb
      • To have or be included as a part of something
      • To cause (a person or group) to take part in an event or activity.
      A2TOEIC
      More
    • linear

      US /ˈlɪniər/

      UK /ˈlɪniə(r)/

      • Adjective
      • Made of lines
      • Series of progressing from one stage to another
      B1
      More
    • linearly

      US

      UK

      • Adverb
      • With straight lines
      C2
      More
    • mass

      US /mæs/

      UK /mæs/

      • Noun (Countable/Uncountable)
      • Religious ceremony in some Christian churches
      • Large amount or number of something
      • Transitive Verb
      • To gather people or things into a large group
      B1
      More
    • molar

      US /ˈmoʊlə(r)/

      UK /ˈməʊlə(r)/

      • Noun
      • Tooth with broad biting surface used for grinding
      C1
      More
    • multiply

      US /ˈmʌltəˌplaɪ/

      UK /ˈmʌltɪplaɪ/

      • Verb (Transitive/Intransitive)
      • To increase in number by reproducing/having babies
      • To increase something by a large quantity
      B1
      More
    • nonlinear

      US /nɑnˈlɪniɚ/

      UK /'nɒn'lɪnɪəl/

      • Adjective
      • Not in a line or straight progression
      C2
      More
    • numerical

      US /nu:ˈmerɪkl/

      UK /nju:ˈmerɪkl/

      • Adjective
      • Concerning or involving numbers
      B2
      More
    • omega

      US /oʊ'meɡə/

      UK /'əʊmɪɡə/

      • Noun
      • Last letter in the greek alphabet
      B2
      More
    • order in

      US

      UK

      • Phrasal Verb
      • To request food from a restaurant to be delivered to one's home or other location.
      More
    • ordinary

      US /ˈɔ:rdneri/

      UK /'ɔ:dnrɪ/

      • Adjective
      • Normal or usual
      • Of the rank of ordinary seaman.
      • Noun
      • An ecclesiastical judge or official having ordinary jurisdiction in a given area.
      • Any of several simple and basic geometrical figures.
      A2TOEIC
      More
    • oscillate

      US

      UK

      • Intransitive Verb
      • To keep moving back and forth many times
      B2
      More
    • parallel

      US /ˈpærəˌlɛl/

      UK /'pærəlel/

      • Verb (Transitive/Intransitive)
      • To be equal to, or like, something else
      • To compare
      • Noun (Countable/Uncountable)
      • A line on a map a set distance from the equator
      • A similarity; a comparison.
      B1
      More
    • partial

      US /ˈpɑ:rʃl/

      UK /ˈpɑ:ʃl/

      • Adjective
      • Giving better treatment to one person than another
      • Not complete; being only part of something
      B1TOEIC
      More
    • reach

      US /ritʃ/

      UK /ri:tʃ/

      • Verb (Transitive/Intransitive)
      • To come to or arrive at a goal or destination
      • To be long enough to get to a certain place
      • Uncountable Noun
      • Power or control someone has over something
      A2TOEIC
      More
    • reality

      US /riˈælɪti/

      UK /rɪ'ælətɪ/

      • Noun (Countable/Uncountable)
      • What is true, as opposed to what is imagined
      • The state of things as they actually exist, rather than as they may appear or might be imagined.
      A2
      More
    • root

      US /rut, rʊt/

      UK /ru:t/

      • Noun (Countable/Uncountable)
      • Emotional connection with a place, history etc.
      • The origin or starting place of something
      • Transitive Verb
      • To cause a plant to develop or grow roots
      • (Animals) to search for e.g. food in earth
      A2
      More
    • side with

      US /saɪd wɪð/

      UK /said wið/

      • Phrasal Verb
      • To support one person or group against another in a disagreement.
      A2
      More
    • sine

      US /saɪn/

      UK /saɪn/

      • Noun
      • Angle's ratio of side opposite hypotenuse
      C1
      More
    • slope

      US /sloʊp/

      UK /sləʊp/

      • Noun
      • Angle of a decline, e.g. where a road dips down
      • Surface on which people can ski
      • Intransitive Verb
      • To have one end that is not as high as the other
      B1TOEIC
      More
    • solution

      US /səˈluʃən/

      UK /səˈlu:ʃn/

      • Noun (Countable/Uncountable)
      • Mix of a liquid and a solid or a gas
      • Way to solve or deal with a problem
      A2
      More
    • symmetric

      US /sɪ'metrɪk/

      UK /sɪ'metrɪk/

      • Adjective
      • Having parts that are exactly the same
      B2
      More
    • think of

      US /θɪŋk ʌv/

      UK /θiŋk ɔv/

      • Phrasal Verb
      • To look on as (being something specific); consider
      • To consider or remember something.
      • Verb (Transitive/Intransitive)
      • To imagine or call something to mind
      A1
      More
    • vector

      US /ˈvɛktɚ/

      UK /'vektə(r)/

      • Noun
      • Math a quantity that has both size and direction
      B2
      More
    • with time

      US

      UK

      • Phrase
      • As time passes; eventually.
      • Given enough time; in the course of time.
      A1
      More
    • write down

      US /raɪt daʊn/

      UK /rait daun/

      • Phrasal Verb
      • To record in writing
      A1
      More
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    01:03

    She took a brave step forward, leaving behind her comfort zone to chase her dreams.

    Vocabulary
    • brave

      adj. Having courage

    • comfort zone

      phr. A familiar situation where one feels safe

    Explanation
    a brave step is a noun phrase, where brave is an adjective modifying the noun step, meaning "a courageous step". forward is an adverb modifying step, meaning "ahead". The whole phrase serves as the object, answering the "what" of took (verb) — she took a brave step forward.

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    brave

    US/brev/
    UK/breɪv/
    adj.Brave
    v.t.To bravely face
    A2 Elementary

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    B1US
    #equation#derivative#euler#linear#constant#partial

    Overview of Differential Equations

    0
    辰 posted on 2026/02/16
    Ever wondered how complex systems are modeled? This video dives into ordinary differential equations, from first-order to systems, and even shows you how to tackle them with MATLAB's ODE45 solver! You'll pick up some advanced vocabulary and boost your knowledge learning skills with this engaging chalkboard lecture.

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