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## Homework Statement

Show that y= xe

^{x}satisfi es

**A**(d

^{2}y)/dx

^{2}+

**B**(dy/dx) +

**C**y = 0

for suitably chosen values of the constants A, B, and C.

## Homework Equations

Y=xe

^{x}

## The Attempt at a Solution

Please see the attachment. I get to a point where I need to find the value of A, B and C but cannot as I'm dealing with x

^{2}terms.

Help would be much appreciated.