Show that if y1 is a solution ofy + p1(t)y + p2(t)y + p3(t)y = 0,then the substitution y

Chapter 4, Problem 26

(choose chapter or problem)

Show that if y1 is a solution ofy + p1(t)y + p2(t)y + p3(t)y = 0,then the substitution y = y1(t)v(t) leads to the following second order equation for v:y1v + (3y1 + p1y1)v + (3y1 + 2p1y1 + p2y1)v = 0.

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