# Math Help - [SOLVED] Laplace’s equation

1. ## [SOLVED] Laplace’s equation

Hi Can some please help me:

Question:

my Work:

for Part A Find g(x,y) - I don't know how to find this out.

for Part B - Can do this but need help in part A

Please can some please help me.

Thanks

2. Can someone please help me. I Just need help to start this question of.

3. Originally Posted by SubZero
Can someone please help me. I Just need help to start this question of.
I think you're on the right track with $g(x,y)$. Sub in your boundary conditions to find $\alpha, \beta, \gamma \; \text{and}\; \delta$. For $f(x,y)$ try $f(x,y) = Y(y)\, \cos 2 \pi x$

4. Originally Posted by Danny
I think you're on the right track with $g(x,y)$. Sub in your boundary conditions to find $\alpha, \beta, \gamma \; \text{and}\; \delta$. For $f(x,y)$ try $f(x,y) = Y(y)\, \cos 2 \pi x$

thanks for your reply. This is the bit that i am struggling in.

i got g(x,y)=y+xy

But this is wrong.

Can someone please tell me how to sub in the boundary conditions to find $\alpha, \beta, \gamma \; \text{and}\; \delta$.

5. Originally Posted by SubZero
thanks for your reply. I did this and

i got g(x,y)=y+xy

But i think this is wrong.
But don't you want both $g(0,y) = y$ and $g(1,y) = y$. Yours doesn't give that.

6. Originally Posted by Danny
But don't you want both $g(0,y) = y$ and $g(1,y) = y$. Yours doesn't give that.
yes you are correct. i just saw my mistake.

Thanks for the help