9. Find a general solution to the Cauchy–Euler equation

Chapter 6, Problem 9RP

(choose chapter or problem)

Given that \(\left\{e^{x}, e^{-x}, e^{2 x}\right\}\) is a fundamental solution set for the homogeneous equation corresponding to the equation

\(y^{\prime \prime}-2 y^{\prime \prime}-y^{\prime}+2 y=g(x)\)

determine a formula involving integrals for a particular solution.

Equation transcription:

Text transcription:

{e^{x}, e^{-x}, e^{2 x}}

y^{prime prime}-2 y^{prime prime}-y^{prime}+2 y=g(x)

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