Given [tex]\frac{\partial^2 V}{\partial u \partial v} = 0[/tex], the solution is [tex]V_1(u) + V_2(v)[/tex] for arbitrary [tex]V_1 , V_2[/tex].(adsbygoogle = window.adsbygoogle || []).push({});

I solve to get [tex]\frac{\partial V}{\partial u} = V_3(u)[/tex] and then [tex]V = \int V_3(u) du + C[/tex] Where V_3, C are arbitrary.

How could I transform my latter solution into the first solution? Don't V_1, V_2 have to have some properties such as differentiability? (I found this in a physics textbook)

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

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: Easiest PDE

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