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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.:yuck: :yuck:

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# Solving this PDE

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