I am trying to solve the following: $\displaystyle y''+y'-2y=x^{3}-e^{x}$ I have been trying to use the method of undetermined coefficients but cannot find an appropriate choice for $\displaystyle y_{p}(x)$.
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To find the particular solution corresponding to -exp(x), try A*x*exp(x) and compute A; To find the particular solution corresponding to x^3, try B*x^3 +C*x^2 +D*x+E and compute B, C, D and E.
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