- #1
bugatti79
- 794
- 1
Homework Statement
Use the Cauchy Riemann equations to those points whose functions are analytic
##f(z)=x^2-y^2-x+iy(2x+1)##
Homework Equations
C-R eqn's
##u_x=v_y, u_y=-v_x, z(x,y)=x+i y##
The Attempt at a Solution
##u(x,y)=x^2-y^2-x##
##v(x,y)=y(2x+1)##
##u_x=2x-1##
##u_y=-2y=-v_x##
##v_y=2x+1 \therefore u_x \ne v_y \implies##
the function f(z) is not analytic...Not sure what the question is asking regarding 'determining those points'
Can some shed some light if I need to do more?
Thanks