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Separable equations Quiz: printable

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Separable equations Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/differential-equations/separable-equations-2/quiz/

  1. 1

    Solve dy/dx = 2xy, y(0) = 3

    Answer: ____________________

  2. 2

    Solve dy/dx = xy, y(0) = 3

    Answer: ____________________

  3. 3

    Solve dy/dx = 4y, y(0) = −2

    Answer: ____________________

  4. 4

    Solve dy/dx = 2xy2, y(0) = 2

    Answer: ____________________

  5. 5

    Solve dy/dx = y2, y(0) = 1

    Answer: ____________________

  6. 6

    Solve dy/dx = −xy, y(0) = 5

    Answer: ____________________

  7. 7

    Solve dy/dx = (2x + 3)y, y(0) = 1

    Answer: ____________________

  8. 8

    Solve dy/dx = xy, y(2) = 3

    Answer: ____________________

  9. 9

    Solve dy/dx = 3x2y2, y(0) = 2

    Answer: ____________________

  10. 10

    Solve dy/dx = 2y2, y(0) = −1

    Answer: ____________________

Answer key

  1. y = 3ex²
  2. y = √(x2 + 9)
  3. y = −2e4x
  4. y = ∛(3x2 + 8)
  5. y = −1/(x − 1)
  6. y = √(−x2 + 25)
  7. y = ex² + 3x
  8. y = √(x2 + 5)
  9. y = ∛(3x3 + 8)
  10. y = −1/(2x + 1)

Every answer solved step by step: steplyclass.com/differential-equations/separable-equations-2/quiz/answers/