# find constants so that f(z) is analytic

• May 31st 2011, 05:02 AM
linalg123
find constants so that f(z) is analytic
$f(z)= x^2 + axy + by^2 + i(cx^2 + dxy +y^2)$

i got $u_x=2x+ay$
$v_y=2y+dx$
$u_y=2by+ax$
$v_x=2cx+dy$

so $a=d=2$ and $b=c=-1$

is this all i need to put? seems too easy
• May 31st 2011, 07:19 AM
Opalg
That's correct. Math is so easy! (Happy)