# Thread: wrinting a function in terms of u and v

1. ## wrinting a function in terms of u and v

Attachment 21136

i solved it and i got :

u= e^(5x) . cos ^(5y)

v=e^(5x) . sin ^(5y)

delta u =0
delta v=0

i just want to make sure of my answers..can you please check if you got the same answers ?? thank you

2. Hi there PeaceSoul, you attachment seems to be somewhat sluggish.

Can you type out the entire question?

3. Hello pickslides, the question is in the attachement, doesnt it show ?? please let me know if there is an error in showin the picture ! thank you ))

4. It comes up invalid link

5. Originally Posted by PeaceSoul
Attachment 21136
u= e^(5x) . cos ^(5y)
v=e^(5x) . sin ^(5y)
That much is correct.
$u_x=5e^{5x}\cos(5y)~\&~v_y=5e^{5x}\cos(5y)$
Now $u_{xx}=?~\&~v_{yy}=?$

Can you finish?

6. Dear Plato, thank you for ur reply,

ux = 5e^(5x) . cos (5y)
uxx=25e^(5x) . cos (5y

uy= -5e^(5x) . sin (5y)
uyy= -25e^(5x) . cos (5y)

delta u=uxx+uyy =0 ! is that correct?

7. Originally Posted by PeaceSoul
ux = 5e^(5x) . cos (5y)
uxx=25e^(5x) . cos (5y
uy= -5e^(5x) . sin (5y)
uyy= -25e^(5x) . cos (5y)
u=uxx+uyy =0 ! is that correct?
Yes that is correct.

Why not learn to post in symbols? You can use LaTeX tags
$$u_{xx}=25e^{5x}\cos(5y)$$ gives $u_{xx}=25e^{5x}\cos(5y)$