(Variation of parameter) Another method of obtaining (4) results from the following

Chapter 1, Problem 1.1.147

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Another method of obtaining (4) results from the following idea. Write (3) as cy*, where y* is the exponential function. which is a solution of the homogeneous linear ODE y*’ + py* = 0. Replace the arbitrary constant c in (3) with a function u to be determined so that the resulting function y = uy* is a solution of the nonhomogeneous linear ODE y ‘ + py = r.

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