- #1
Gekko
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du/dt=d2u/dx2
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 isn't easy to ready)
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 isn't easy to ready)