Convert the Black-Scholes Equation to the Heat equation ** you MUST use the change of variables specified in the problem!!!

See pdf file for details.

After solving a PDE for the heat equation + a constant - Does the solution to the PDE sugest a simplifying transformation.

See attached PDF file. - This should not take much time at all, I'm betting it's a really simple transformation that won't take two lines to figure out, but PLEASE provide specifics about whatever you do so I can follow the awnser!!! *** TWO PAGES, QUESTION IS ON SECOND PAGE!!!! ****

Show that the form of the Black-Scholes eq. given can be converted into Ut=((sigma^2)/2)*Uxx

Please see attached PDF file. Also ***PLEASE*** DON'T respond with handwritten work, **ONLY*** pdf / word format - mathcad is fine too.

Wave equation

Wave equation problem - show that the wave eq. u(x,t) can be expressed as 1/2((fodd(x+ct)+fodd(x-ct)) - fodd being the odd periodic extension of f(x) See attachment

Differential Equations

Please see attachment