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## Homework Statement

oh! after trying to re-solve a PDE I reached this:

## Homework Equations

[tex]\sum\frac{4}{((2n-1)\pi)^2} (a+\frac{4(-1)^{n+1}}{(2n-1)\pi}) cos(\frac{2n-1}{2}\pi x) [/tex]

n goes feom 1 to [tex]\infty[/tex] and "a" is a constant value.

## The Attempt at a Solution

the solution i am trying to reach is:

[tex]=\frac{1}{2} (1-x^{2}+(1-x)a)[/tex]

but i don't know how?

can anyone help please?