17.2: Variation of Parameters - University of California, Berkeley
17.2: Variation of Parameters Wednesday, April 22 Variation of Parameters To solve ay00+ by0+ cy = G, for some function G(x): 1. Find linearly independent solutions y 1;y 2 to ay00+ by0+ cy = 0. 2. Set W = y 1 y0 2 y 2y 0. 3. The solution is y = y 1 Z Gy 2 aW dx+ y 2 Gy 1 aW dx Example: Solve y00 3y0+ 2y = e x. 1. ................
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