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#### azuralshadow

##### New member

- Sep 2, 2012

- 1

Solve the following differential equation with the 3 given cases, all of the systems have a sinusoidal input 'y' and start undeflected and at rest.

X'' + 2(A)(B)X' + (B^2)X = y

Initial conditions x' = 0 , x = 0 , y = sin(t)

Case 1: A = 0.5 , B = 10

Case 2: A = 1.0 , B = 10

Case 3: A = 2.0 , B = 10

Honestly the part im having the hardest time doing is figuring out how to make a good guess at a particle solution after that i understand how to get to a general solution.