Question

(16 pts) Use either the method of undetermined coefficients or variation of parameters to find a particular solution yp of the equations:

Answer 1

"a) y'' - y = 2 x e^- x Auxiliary equation r^2 - 1 = 0 complementary function y_L = c_1 e^x + c_2 e^- x y_1 = e^x y_2 = e^- x variation of parameters y_p = -y_1 integral y_2/w f(x) dx + y_2 integral y_1/w f(x) w =

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