Check a solution Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/differential-equations/check-a-solution/quiz/

1. 1

   Is y = e^3x a solution of y' = 3y
   1. A) Yes
   2. B) No

2. 2

   Is y = x² + 3 a solution of y' = 2x
   1. A) Yes
   2. B) No

3. 3

   Is y = x² a solution of y' = 2y
   1. A) Yes
   2. B) No

4. 4

   Is y = e^2x a solution of y' = 3y
   1. A) Yes
   2. B) No

5. 5

   Check that y = sin(2x) solves y'' + 4y = 0
   1. A) Yes
   2. B) No

6. 6

   Is y = cos(3x) a solution of y'' + 4y = 0
   1. A) Yes
   2. B) No

7. 7

   Does y = x³ solve xy' = 3y
   1. A) Yes
   2. B) No

8. 8

   Is y = e^4x a solution of y'' − 5y' + 6y = 0
   1. A) Yes
   2. B) No

9. 9

   Is y = xe^2x a solution of y'' − 4y' + 4y = 0
   1. A) Yes
   2. B) No

10. 10

    Is y = 3e^2x − e^3x a solution of y'' − 5y' + 6y = 0
    1. A) Yes
    2. B) No