Turning PDE into ODE

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Really appreciate this video, however, as helpful as this was! i think i prefer your regular videos as opposed to the hangout (just the lag can be bothering at times) other than that great video!

ryandsz
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Is there any particular rule to assume the function u=g(x/y)?

RatnamanjariSahoo-cziy
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the assumption u=g(x/y) is too restrictive on the kind of functions i am interested in.

jmafoko
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Great videos, thanks! Some of these differential equations are still causing me a lot of trouble, though: What if I happen to have x*u_xx instead of just u_xx? Is it still possible to solve it like by turning PDEs into ODEs? Looking "blindly" at this it seems like I'd be stuck with an x on the last line and in that case 3 variables.

natyalim
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how i can find good change variable like p=x/y to find general solution of PDE
i want know why u assumpted p=x/y?

alirezakhorshidi
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Thank you for the sharing. I got one equation, where the equation also involve 'u'.The 'u' is the solution of the equation. Now am i going to ignore the 'u'? just deal with the partial derivative only? Actually the PDE given is the Fitzhugh-Nagumo equation as followed:

Ut = Uxx + U(U-1)(lambda-U)

**Ut, Uxx is partial derivative of t and second order partial derivative of x**

owyuzen
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Could you go backwards? Convert a ODE to a PDE?

jasminc
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how can we convert non-homogenous two or three dimension pdes into odes? pls upload video.

fatehalirana
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I got Zed = K/(2p^2+1) using separation of variables.

Axion
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how to Turn ODE including a(t), b(t) and c(t) into PDE ?

leehoyeung
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have you thought about using justin.tv?

WhoPinkFloyd