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Two linearly independent solutions of the following equation (1 ? x)?y? ?+? x?y? ??? y ?=? 0 are ?y1(x)...

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Basic Math

Two linearly independent solutions of the followingequation

(1 ? x)?y? ?+?x?y? ??? y ?=? 0

are ?y1(x) ?=?4ex and?y2(x) ?=? 8x.
(a)Find the WronskianW(y1,?y2) ofy1 and y2.
(b)Using the method of variation of parameters, find a particularsolution of

(1 ? x)?y? ?+?x?y? ??? y ?=?2(x ?1)2?e??x

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