Differential Equations Quiz
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Questions and Answers

What is a differential equation?

  • An equation involving a function and its derivatives (correct)
  • An equation with no variables
  • An equation with only derivatives
  • An equation with only constants and variables

    • Why is the study of differential equations important?

  • They arise in various applications in science (correct)
  • They are only used in mathematics
  • They are purely theoretical and have no practical use
  • They are outdated and not relevant to modern science

    • What is the general solution of a differential equation?

  • A solution involving complex numbers
  • A solution containing arbitrary constants (correct)
  • A solution with no constants
  • A solution that is always positive

    • What is the order of a differential equation?

    <p>The order of the highest derivative present in the equation</p> Signup and view all the answers

    In the equation $\frac{dy}{dx} = 3x^2$, what is the particular solution?

    <p>$y = x^3$</p> Signup and view all the answers

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