You can verify by substitution that yc D c1x C c2x1 is a
Chapter , Problem 57(choose chapter or problem)
You can verify by substitution that yc D c1x C c2x1 is a complementary function for the nonhomogeneous secondorder equation x2y00 C xy0 y D 72x5: But before applying the method of variation of parameters, you must first divide this equation by its leading coefficient x2 to rewrite it in the standard form y00 C 1 x y0 1 x2 y D 72x3: Thus f .x/ D 72x3 in Eq. (22). Now proceed to solve the equations in (31) and thereby derive the particular solution yp D 3x5. I
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