(Variation of parameter) Another method of obtaining (4)

Chapter 1, Problem 1.5

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(Variation of parameter) Another method of obtaining (4) results from the following idea. Write (3) as ey*, where y* is the exponential function. which is a solution of the homogeneous linear ODE y*' + py* = O. Replace the arbitrary constant e in (3) with a function II to be determined so that the resulting function y = IIY* is a solution of the nonhomogeneous linear ODE y' + PY = r.

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