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Unformatted text preview: of a particular solution to the related nonhomogeneous equation y 00 + 4 y + 3 y = 2 + 4 t + cos 3 t + 2 te t + 5 et + 6 te3 t It is not necessary to solve for the value of the coeﬃcients. 17 . Solve the initial value problem: y 00 + 2 y + y = 4 sin t y (0) = 0 y (0) = 1 18 . Use the method of variation of parameters to ﬁnd the general solution of y 00 + 4 y = sec 2 t The solution has the format u 1 y 1 + u 2 y 2 , where y 1 and y 2 are homogeneous solutions, g ( t ) is the righthand side function, u 1 = ± ± ± ± ± y 2 g y 2 ± ± ± ± ± ± ± ± ± ± y 1 y 2 y 1 y 2 ± ± ± ± ± and u 2 = ± ± ± ± ± y 1 y 1 g ± ± ± ± ± ± ± ± ± ± y 1 y 2 y 1 y 2 ± ± ± ± ±...
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 Spring '09
 EWQFQW

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