This problem demonstrates the variation-ofparameters method for first-order linear
Chapter 1, Problem 29(choose chapter or problem)
This problem demonstrates the variation-ofparameters method for first-order linear differential equations. Consider the first-order linear differential equation y + p(x)y = q(x). (1.6.15) (a) Show that the general solution to the associated homogeneous equation y + p(x)y = 0 is yH (x) = c1e p(x)dx . (b) Determine the function u(x) such that y(x) = u(x)e p(x)dx is a solution to (1.6.15), and hence derive the general solution to (1.6.15).
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