Transformation in complex plane

[Sonal7]

I am unsure how to do part 3. I have tried by doing the following:

[MATH]u+vi=3(x^2+xyi-y^2)[/MATH][MATH]u+vi=3(x^2-y^2)+3xyi[/MATH]Now i cant figure out how to equate the x and y terms. It looks messy

 

[Romsek]

[MATH]u + i v = 3(x^2 + 2 i x y - y^2)[/MATH]
you left out a factor of 2 on the \(\displaystyle xy\) term

 

[Sonal7]

 

[Sonal7]

I think it was a question of sub in the value for y and then taking the ration of the v/u

 

[topsquark]

I think it was a question of sub in the value for y and then taking the ration of the v/u

Yup. But make sure you do the correction that Romsek mentioned. v = 6xy.

-Dan

 

[Sonal7]

Yes that was a silly error. But yes wont have got the right ans without it.