Let (x) be an integrating factor for y + P (x)y = Q(x). The differential equation y + P
Chapter 9, Problem 43(choose chapter or problem)
Let (x) be an integrating factor for y + P (x)y = Q(x). The differential equation y + P (x)y = 0 is called the associated homogeneous equation. (a) Show that y = 1/(x)is a solution of the associated homogeneous equation. (b) Show that if y = f (x) is a particular solution of y + P (x)y = Q(x), then f (x) + C/(x) is also a solution for any constant C.
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