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Solve the differential equation using the method of undetermined coefficients. y'' ? 10y' + 26y = e^?x

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Advance Math

Solve the differential equation using the method of undeterminedcoefficients.

y'' ? 10y' + 26y = e^?x

Answer & Explanation Solved by verified expert
3.6 Ratings (469 Votes)
Find the complementary solution by solving d2 yx dx2 10 dyx dx 26 yx 0 Assume a solution will be proportional to e x for some constant Substitute yx e x into the differential equation d2 dx2e x 10 d dxe x 26 e x 0 Substitute d2 dx2e x 2 e x and d dxe x e x 2 e x 10 e x 26 e x 0 Factor out e x 2 10 26    See Answer
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