- #1

hari123

- 8

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Moved from a technical forum, so homework template missing

## Homework Statement

I am trying to solve 2nd order in-homogeneous equation of y(x) (given below). I was able to get the Homogeneous solution , but i am not able to create the Ansatz for the particular solution.

It would be really helpful if anyone suggests an Ansatz for this equation and also the approach in which he/she got to this Ansatz using the Standard available Ansatz types.

## Homework Equations

y'' + (3/b)*y' = 12*(x/b

^{3}), where b = x +2

## The Attempt at a Solution

I was able to get the Homogeneous solution as,

y

_{hom}= -C1/(2*b2) + C2 (C1,C2 are integration constants). (I have attached the derivation below)

#### Attachments

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