Differential Equations: First Order and First Degree
5 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

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

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser