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Second order Quiz: printable

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Second order Quiz

Name: ______________________ Date: __________ Score: ____ / 6

6 questions. Calculator allowed. Show your working. steplyclass.com/differential-equations/second-order/quiz/

1
Solve y'' − 5y' + 6y = 0, y(0) = 2, y'(0) = 5
Answer: ____________________
2
Solve y'' − 3y' + 2y = 0, y(0) = 0, y'(0) = 1
Answer: ____________________
3
Solve y'' − 4y = 0, y(0) = 3, y'(0) = 2
Answer: ____________________
4
Solve y'' + y' − 6y = 0, y(0) = 1, y'(0) = −8
Answer: ____________________
5
Solve y'' − y' = 0, y(0) = 5, y'(0) = 2
Answer: ____________________
6
Solve 2y'' + 3y' + y = 0, y(0) = 1, y'(0) = 0
Answer: ____________________

Answer key

y = e^2x + e^3x
y = −e^x + e^2x
y = e^−2x + 2e^2x
y = 2e^−3x − e^2x
y = 3 + 2e^x
y = −e^−x + 2e^−x2

Every answer solved step by step: steplyclass.com/differential-equations/second-order/quiz/answers/