Consider the initial value problem y + p ( x ) y = q ( x
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Question:
Consider the initial value problem
y′+ p(x)y = q(x), y(x0) = y0,
where p(x) and q(x) are continuous on some open interval I.
(a) Use the method of variation of parameters to show that the solution is of the form
(b) Use the solution formula given in (a) to solve the initial value problem
xy′− 4y = −2x2 − 4, y(1) = 1, x ≠ 0.
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