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Differential Equations

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Question:

Bpanda

Oracle

Karma Points: 9,229

Date Posted: 7/9/2008 2:11:53 AM Status: Live

Asker's Rating: Lifesaver

Response:

y(x) = sin(3x)

y '(x) = 3.cos(3x)

y "(x) = - 3(3)sin(3x) = -9.sin(3x)

===> y " + 4y = -9.sin(3x) + 4.sin(3x) = -5.sin(3x) # 0 <---- not a solution

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z(x) = cos(2x) + 2sin(2x)

z '(x) = -2.sin(2x) + 4.cos(2x)

z " (x) = -4.cos(2x) - 8.sin(2x)

===> z " + 4z = -4cos(2x) - 8.sin(2x) + 4.cos(2x) + 8.sin(2x) = 0

===> z is the solution to the differential equation

hope ths helps

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