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Suppose p, q, and f are continuous on ((1,1)). Let yp be a particular solution of y + p($)y'+ q(w)y : at) on (a, b),
Suppose p, q, and f are continuous on ((1,1)). Let yp be a particular solution of y\" + p($)y'+ q(w)y : at) on (a, b), and let {3/1, 312} be a fundamental set of solutions of the complementary equation y\"+P(fE)y'+ q(50)y : 0 on ((1,1)), Then 3; is a solution of the non homogeneous equation on ((1,1)) if and only if y = yp 'l ya? where y6 = (:1 yl + (:2 1,53 , where Cland Cg are constants. Write the proof of this theorem
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