- #1
dan280291
- 8
- 0
Homework Statement
Given v(x,y) find [itex]f(z) = u(x,y) +iv(x,y)[/itex]
v(x,y) = 3y -2(x^2 - y^2) +(x) / (x^2 + y^2)
The Attempt at a Solution
Using Cauchy Riemann relations I've found
[itex]dv/dx = -4x + (x^2+y^2)-1) +2x^2(x^2+y^2)-2 = -du/dx[/itex]
Now integrate that with respect to y to find u
But I'm not too sure how to integrate the fractions partially.
Also I've found [itex]dv/dy = 3 +4y -2yx/(x^2 + y^2)[/itex]