Let y1 and y2 be solutions of a second order homogeneous linear differential equation y'+ p(x) y' + q(x) y = 0 , in R. Suppose that y1(x) + y2(x) = e*, W[y:(x) , y2(x) ] = e* , where W [ y1, y2 ] is the Wronskian of y1 and y2 . a) Find p (x) b) Find q (x) c) Find the general form of yı and y2 .
Let y1 and y2 be solutions of a second order homogeneous linear differential equation y'+ p(x) y' + q(x) y = 0 , in R. Suppose that y1(x) + y2(x) = e*, W[y:(x) , y2(x) ] = e* , where W [ y1, y2 ] is the Wronskian of y1 and y2 . a) Find p (x) b) Find q (x) c) Find the general form of yı and y2 .
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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