y'''-2y"-y'+2y=xex^2+2x a) Find a general solution to the corresponding homogeneous equation, given that e2x is one. b) In...

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y'''-2y"-y'+2y=xex^2+2x

a) Find a general solution to the corresponding homogeneousequation, given that e2x is one.

b) In the method of variation of parameters, find v1,where v1e2x + v2y2 +v3y3 = yp is a particular solutionto the inhomogeneous equation. Use the method of variation ofparameters

Please explain and show work, thanks!

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