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Integrals as solutions Quiz: printable

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Integrals as solutions Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/differential-equations/integrals-as-solutions/quiz/

  1. 1

    Solve dy/dx = 6x2

    Answer: ____________________

  2. 2

    Solve y' = 4x

    Answer: ____________________

  3. 3

    Solve y' = 8x3

    Answer: ____________________

  4. 4

    Solve dy/dx = 5

    Answer: ____________________

  5. 5

    Solve dy/dx = 6x2, y(1) = 5

    Answer: ____________________

  6. 6

    Solve y' = 4x3 − 2x, y(1) = 5

    Answer: ____________________

  7. 7

    Solve dy/dx = e2x

    Answer: ____________________

  8. 8

    Solve dy/dx = 3x2 + 2x, y(2) = 10

    Answer: ____________________

  9. 9

    Solve y' = 12x2 − 6x + 1, y(1) = 0

    Answer: ____________________

  10. 10

    Solve dy/dx = 2e3x + 1, y(0) = 2

    Answer: ____________________

Answer key

  1. y = 2x3 + C
  2. y = 2x2 + C
  3. y = 2x4 + C
  4. y = 5x + C
  5. y = 2x3 + 3
  6. y = x4 − x2 + 5
  7. y = 12e2x + C
  8. y = x3 + x2 − 2
  9. y = 4x3 − 3x2 + x − 2
  10. y = 23e3x + x + 43

Every answer solved step by step: steplyclass.com/differential-equations/integrals-as-solutions/quiz/answers/