Solve d2y/dx2+2dydx+5=xex

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A simpler way to apply the Variation of Parameters method.
How to solve a non-homogenous second order linear differential equation?
A method to skip "Let y=e^(mx)" for complementary function but it is fast and accurate.
Solve d2y/dx2+2dydx=0 by inserting the dummy "m", fast and accurate. The complementary function for the associated homogenous equation, a faster way.
This method is applicable for all homogenous second order linear differential equations.

How to determine the particular integral for the non-homogeneous equation?
Correction for particular integral when the function is having common term(s) as in complementary function. We should always bear in mind that, particular integral and complementary function should not have common term (terms with the same degree).
Remark: common term ≠ common factor.

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