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differential equation solution

Guest oriv
Guest oriv
in Analysis and Calculus

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Can anyone help as to how to solve the following differential equation ?

 

(x+2)y' - (2x+5)y = -2x3 - 3x2 + 4x (figures after variables meaning powers)

 

Just a beginner in differential equations so might look very trivial to some of you but I would like to demonstrate the solution rather than just see that it works...

 

solution is C(exp(2x))(x+2) + x2

 

where C integration constant

 

First part of solution is found easily and it then amounts to integrating

(-2x3-3x2+4x) / (((x+2)2)(exp(2x))

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