Page 74 - LAPLACE TRANSFORM

Exercise (Differential Equations)
Solve the following differential equation by using Laplace transform.

1) y’’ + 6y’ + 8y = 0 ; given y (0) =0 and y’ (0) =4

2) x’’ + 7x’ + 6x = 0 ; given x (0) =0 and x’ (0) =6

3) y’’ + 6y’ + 5y = 10 ; given y (0) =1 and y’ (0) =0

2
2
4) d x/dt + 3dx/dt + 2x = 24 given x (0) =10 and x’ (0) = 0

5) y’’ – 4y’ + 3y = 0 ; given y (0) =2 and y’ (0) =10

6) y’’ – 4y’ – 5y = 0 ; given y (0) =3 and y’ (0) =3

7) x’’ + 4x’ + 3x = 0 ; given x (0) =3 and x’ (0) =1

*******************End of Differential Equations********************

Please do not hesitate to answer the following questionnaire;

https://docs.google.com/forms/d/e/1FAIpQLSf82T66m6OmmfHClu-
XwVS3dYB5jw-II8_8rqSwSHECDueXZw/viewform?usp=pp_url

62