Question: You can verify by substitution that y c = c 1 x + c 2 x -1 is a complementary function for the nonhomogeneous second-order

You can verify by substitution that y_c = c₁x + c₂x^-1 is a complementary function for the nonhomogeneous second-order equation

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
Thus f(x) = 72x³ in Eq. (22). Now proceed to solve the equations in (31) and thereby derive the particular solution
y_p = 3x⁵.

xy" + xy'-y = 72x5.

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