du/dt=d2u/dx2(adsbygoogle = window.adsbygoogle || []).push({});

Show that u(x,t)=(t^a) * theta(xi) where xi=x/sqrt(t) and a is a constant, then theta(xi) satisfys the ODE

a*theta - 0.5 * xi * dtheta/dxi = d2theta/dxi2

Not sure how to start this. Any help most appreciated

(sorry if question isnt easy to ready)

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Heat equation - theta function?

**Physics Forums | Science Articles, Homework Help, Discussion**