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Problem 3: Find a second solution by reduction of order - nonhomogeneous The given function y1(x) is...

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Advance Math

Problem 3: Find a second solution by reduction of order -nonhomogeneous

The given function y1(x) is a solution of the associatedhomogeneous equation. Use the reduction of order method to ?nd asolution y(x) = u(x)y1(x) of the nonhomogeneous equation.

1. x^2y'' + xy'?4y = x^3, y1 = x^2

2. 2x^2*y'' + 3xy'?y = 1/x ,    y1 = x^(1/2)

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