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Two linearly independent solutions of the following equation (1 − x) y″  +  x y′  − ...

Two linearly independent solutions of the following equation

(1 − x) y″  +  x y′  −  y  =  0

are  y1(x)  =  4ex and  y2(x)  =  8x.
(a) Find the Wronskian W(y1, y2) of y1 and y2.
(b) Using the method of variation of parameters, find a particular solution of

(1 − x) y″  +  x y′  −  y  =  2(x − 1)2 e −x

Solutions

Expert Solution

milcah answered 1 year ago
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