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Differential Equations: First Order and First Degree
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Differential Equations: First Order and First Degree

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Questions and Answers

What is the general form of a linear differential equation of first order and first degree?

  • dy/dx + Py = Q (correct)
  • dy/dx = Py + Q
  • dy/dx + Q = Py
  • dy/dx = P + Qy
  • What is the integrating factor of the differential equation dy/dx + Py = Q?

  • e^(∫Pdx)
  • e^(-∫Pdx) (correct)
  • e^(-∫Qdx)
  • e^(∫Qdx)
  • What is the complementary function of the differential equation dy/dx + 2y = 0?

  • y = Axe^(-2x)
  • y = Axe^(2x)
  • y = Ae^(2x)
  • y = Ae^(-2x) (correct)
  • What is the particular integral of the differential equation dy/dx + 2y = 3, when y(0) = 1?

    <p>y = 3/2</p> Signup and view all the answers

    What is the general solution to the differential equation dy/dx + 2y = 3?

    <p>y = Ae^(-2x) + 3/2</p> Signup and view all the answers

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