Second order Quiz

Name: ______________________   Date: __________   Score: ____ / 7

7 questions. Calculator allowed. Show your working. steplyclass.com/differential-equations/second-order-a-repeated-root/quiz/

1. 1

   Solve y'' − 6y' + 9y = 0, y(0) = 2, y'(0) = 7

   Answer: ____________________

2. 2

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

   Answer: ____________________

3. 3

   Solve y'' − 2y' + y = 0, y(0) = 3, y'(0) = 5

   Answer: ____________________

4. 4

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

   Answer: ____________________

5. 5

   Solve y'' − 8y' + 16y = 0, y(0) = −1, y'(0) = 2

   Answer: ____________________

6. 6

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

   Answer: ____________________

7. 7

   Solve y'' + 6y' + 9y = 0, y(0) = 2, y'(0) = −5

   Answer: ____________________