Steply

Solving with Laplace Quiz: printable

Take it online Answer key

Solving with Laplace Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/differential-equations/solving-with-laplace/quiz/

  1. 1

    Solve y' + 2y = 0, y(0) = 3 using Laplace

    Answer: ____________________

  2. 2

    Solve y' − 3y = 0, y(0) = 2 using Laplace

    Answer: ____________________

  3. 3

    Solve y' − y = 0, y(0) = −4 using Laplace

    Answer: ____________________

  4. 4

    Solve y' + 4y = 0, y(0) = 1 using Laplace

    Answer: ____________________

  5. 5

    Solve y' − y = 2e3t, y(0) = 1 using Laplace

    Answer: ____________________

  6. 6

    Solve y' + 2y = 4, y(0) = 0 using Laplace

    Answer: ____________________

  7. 7

    Solve y'' − 3y' + 2y = 0, y(0) = 0, y'(0) = 1 using Laplace

    Answer: ____________________

  8. 8

    Solve y'' − y = 0, y(0) = 2, y'(0) = 0 using Laplace

    Answer: ____________________

  9. 9

    Solve y'' + y' − 2y = 0, y(0) = 3, y'(0) = 0 using Laplace

    Answer: ____________________

  10. 10

    Solve y' − 2y = 6e−t, y(0) = 0 using Laplace

    Answer: ____________________

Answer key

  1. y = 3e−2t
  2. y = 2e3t
  3. y = −4et
  4. y = e−4t
  5. y = e3t
  6. y = 2 − 2e−2t
  7. y = −et + e2t
  8. y = e−t + et
  9. y = e−2t + 2et
  10. y = 2e2t − 2e−t

Every answer solved step by step: steplyclass.com/differential-equations/solving-with-laplace/quiz/answers/