Unformatted text preview: 4. Substitute the trial solution into the diﬀerential equation and solve for the undetermined coeﬃcients so that it is a particular solution x p ( t ). 5. Set x ( t ) = x p ( t ) + c 1 x 1 ( t ) + c 2 x 2 ( t ), where the constants c 1 and c 2 can be determined if initial conditions are given. 6. If f ( t ) is a sum of forcing functions of the type described above, split the problem into simpler parts. Find a particular solution for each part, then add the particular solutions to obtain x p ( t ). 1...
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 Spring '08
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 Coefficient, homogeneous equation

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