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Unformatted text preview: By the superposition principle, y p ( t ) = ( A cos t + B sin t ) e t + C 2 t 2 + C 1 t + C . 35. Since the roots of the auxiliary equation are r = 4 16 20 2 = 2 i, which are dierent from 5 and 3 i , a particular solution has the form y p ( t ) = ( A 1 t + A ) cos 3 t + ( B 1 t + B ) sin 3 t + Ce 5 t . (The last term corresponds to e 5 t in the righthand side of the original equation, and the rst two come from t sin 3 t cos 3 t .) 204...
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 Spring '10
 Hald,OH
 Math, Differential Equations, Linear Algebra, Algebra, Equations

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