In Problems 1 through 16, a homogeneous second-order linear differential equation, two functions y 1 and y

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In Problems 1 through 16, a homogeneous second-order linear differential equation, two functions y1 and y2, and a pair of initial conditions are given. First verify that y1 and y2 are solutions of the differential equation. Then find a particular solution of the form y = c1y1 + c2y2 that satisfies the given initial conditions. Primes denote derivatives with respect to x.

x2y" - xy' + y = 0; y1 = x, y2 = x Inx; y(1) = 7, y'(1) = 2

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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