Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

How to solve this Differential Equation?
How simple is it to solve this Differential Equation?
Any guidelines? Any hint? How to approach the solution?
Have anybody seen things like it before? ...

$$ \frac{d^2F}{dg^2} \cdot \frac{\partial G}{\partial u} \cdot \frac{\partial G}{\partial v} +\frac{dF}{dg} \cdot \frac{\partial^2 G}{\partial u \partial v} -\frac{\partial^2 H}{\partial p \partial q} \cdot \frac{dP}{du} \cdot \frac{dQ}{dv} = 0. $$

It is required to find $F(g)$

$F$ is a function of $g$: $$F(g) = f$$ $g$ depends on $u$ and $v$: $$g = G(u,v)$$ $H$ is a function of $p$ and $q$: $$H(p,q) = h$$ $p$ depends on $u$: $$p = P(u)$$ $q$ depends on $v$: $$q = Q(v)$$

share|improve this question
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.