- #1
Karlisbad
- 131
- 0
Solving this PDE :(
Hello i have a question about this..let be a function [tex] F(x(t),y(t),z(t),t) [/tex] then if we use the "total derivative" respect to t and partial derivatives..could we find an F so it satisfies:
[tex] \frac{d (\frac{\partial F}{\partial x})}{dt}+\lambda F + (\frac{\partial F}{\partial y})^{2}=0 [/tex] ??
how could you solve that ??.. my big problem is that this involves "total" and partial derivatives respect to x and y all mixed up.
Hello i have a question about this..let be a function [tex] F(x(t),y(t),z(t),t) [/tex] then if we use the "total derivative" respect to t and partial derivatives..could we find an F so it satisfies:
[tex] \frac{d (\frac{\partial F}{\partial x})}{dt}+\lambda F + (\frac{\partial F}{\partial y})^{2}=0 [/tex] ??
how could you solve that ??.. my big problem is that this involves "total" and partial derivatives respect to x and y all mixed up.