# Math Help - What is the solution of PDE given below?

1. ## What is the solution of PDE given below?

From the above figure,

∇.(∇∅)=0

i.e.

Given boundary conditions:
$\displaystyle \frac{\partial \varphi}{\partial n} = 0$ (normal direction)

$\varphi=0$ at grounded electrode
$\varphi=\varphi( t)$ at upper electrode

Now how can I solve?

I have tried as follows using separation of variable-

2. Hope someone help me to find out the general solution of the equation mentioned above. Thank you all.....I am waiting :-w

3. Originally Posted by bdcrown007
Hope someone help me to find out the general solution of the equation mentioned above. Thank you all.....I am waiting :-w
Don't bump unless you have relevant information or work to contribute to problem. Someone will get to it when they can.

4. ok, thank you