# A Transforming a PDE with Laplace method

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1. Sep 7, 2017

### SeM

Hello, I have the following PDE equation:

a*b/U(u)*V(v) = 0

where a and b are arbitrary constants, and U an V are two unknown functions. To me it appears this has no solution, however I would like to ask if anyone has some suggestions, such as transforming it to another type using Fourier or Laplace transform.

Thanks

2. Sep 7, 2017

### Orodruin

Staff Emeritus
How is that a PDE?

The obvious solution would be that $b = 0$ or $a = 0$.

It sounds like this is part of a larger problem. You might want to post the problem in the homework section, stating the entire problem formulation and showing your own work to arrive to that equation.

3. Sep 7, 2017

### SeM

It is part of the given PDE:

$$r^2 \frac{1}{R}\frac{\partial^2 R}{\partial r^2} - (r+2i r^2) \frac{1}{R}\frac{\partial R}{\partial r} - \frac{r^2}{RY} = \frac{1}{Y} \frac{\partial^2 Y}{\partial \theta^2}+2ir \frac{1}{Y}\frac{\partial Y}{\partial \theta}$$

and I am not really sure how to consider it.