Differential Equation Variation of Parameters: x^2y'' + xy' - y = x^3 e^x

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Differential Equation Variation of Parameters: x^2y'' + xy' - y = x^3*e^x

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Here it is easy to see that y_{1}=x is particular solution of homogeneous equation but in this type of equation we can also change of independent variable
After changing variable t=exp(x) we will get still linear equation but with constant coefficients

holyshit