How to solve PDE via change of co-ordinates

[eleele]

Very good example and explanation, thank you!!!

[riaddjaid]

Sir does the factor integrating method work with this one?

[Axion]

How did you solve u(psi) = sqrt(u) at 9:10? I am not sure what to do with the u(psi) term.

[sifeizhou]

Thank you so much! It is very helpful!

[jewbacha]

at 8:50, shouldn't it be u = K(η)e^(ξ√(2)/(K(η))), as opposed to having no K(η) in the index of e? A simple check of plugging in your solution to u back into ∂u/∂ξ = √2 u, and you see that its off by a factor of K(η)