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# Hello, do I need help with these differential equations?

Solve the following differential equations by applying the laplace transform

1 y'-3y = e ^ 2t

y(0) = 1

2 y '+ 3y = sen 2t

y (0) = 0

3 y'-5y = cos3t

y (0) = 1/2

4 y'-5y = e ^ 5t

y (0) = 1/2

5 y '' + 2y '+ y = e ^ -t

y (0) = 0, y '(0) = 1

6 y '' - y = e ^ 2t

y (0) = 0, y '(0) = 1

7 y '' + 16y = cos4t

y (0) = 0, y '(0) = 1

8 y '' + 2y '+ y = e ^ -3t

y (0) = 1, y '(0) = 0

9 y '' - 6y + 9y = t ^ 2e ^ 3t

y (0) = 2, y '(0) = 6

10 y '' + 4y '+ 6y = 1 + e ^ -t

y (0) = 0, y '(0) = 0

### 1 Answer

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- LeslieLv 44 weeks ago
You might be crazy to think someone is gonna laplace homework for you. Drop the course 'cause you are too lazy to do this subject

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