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**seichan** I have a problem with searching for the harmonic conjugate of the function Im(e^(z^2)). It would seem through all my work that this DNE, however, my homework program insists it should and does. Could you tell me if I am going wrong in my derivatives, etc?

Im(e^((x^2+y^2)+2xiy))=Im(e^(x^2+y^2)(cos(2xy)+isi n(2xy))= e^(x^2+y^2)*sin(2xy)

ux= 2xe^(x^2+y^2)*sin(2xy)+2ye^(x^2+y^2)cos(2xy)

uxx=2e^(x^2+y^2)*sin(2xy)+4x^2e^(x^2+y^2)*sin(2xy)-4y^2e^(x^2+y^2)sin(2xy)

uy= 2ye^(x^2+y^2)*sin(2xy)+2xe^(x^2+y^2)cos(2xy)

uyy=2e^(x^2+y^2)*sin(2xy)+4y^2*e^(x^2+y^2)*sin(2xy )-4x^2*e^(x^2+y^2)sin(2xy)

uyy+uxx=4e^(x^2+y^2)sin(2xy)