The indicated function y(x) is a solution of the associated homogeneous equation. y" - 9y' + 8y = x; Y₁ = ex Let y = u(x)y, and w(x) = u'(x). Use the method of reduction of order to find a second solution y(x) of the homogeneous equation and a particular solution y(x) of the given nonhomogeneous equation. Find the integrating factor of the associated linear first-order equation in w(x). eSP(x) dx = Find the derivative u'(x). U'(x) = Other Bor Find y(x) and y(x). y₂(x)

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