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The integrating factor Quiz: printable

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The integrating factor Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/differential-equations/the-integrating-factor/quiz/

  1. 1

    Solve y' + 2y = 4

    Answer: ____________________

  2. 2

    Solve y' − y = 2

    Answer: ____________________

  3. 3

    Solve y' + 2y = 4, y(0) = 1

    Answer: ____________________

  4. 4

    Solve y' = 6 − 3y

    Answer: ____________________

  5. 5

    Solve y' + y = ex

    Answer: ____________________

  6. 6

    Solve y' + 2y = 6ex, y(0) = 5

    Answer: ____________________

  7. 7

    Solve y' + 2xy = 6x

    Answer: ____________________

  8. 8

    Solve y' + 2xy = 4x, y(0) = 5

    Answer: ____________________

  9. 9

    Solve xy' + y = 3x2

    Answer: ____________________

  10. 10

    Solve y' − 2xy = 6x

    Answer: ____________________

Answer key

  1. y = 2 + Ce−2x
  2. y = −2 + Cex
  3. y = 2 − e−2x
  4. y = 2 + Ce−3x
  5. y = 12ex + Ce−x
  6. y = 2ex + 3e−2x
  7. y = 3 + Ce−x²
  8. y = 2 + 3e−x²
  9. y = x2 + C/x
  10. y = −3 + Cex²

Every answer solved step by step: steplyclass.com/differential-equations/the-integrating-factor/quiz/answers/