In: Advanced Math
Find the constants a, b, and c such that the function f(z)=ax^2-bxy+2y^2+i(x^2+cxy+dy^2) is entire?
f\left(z\right)=ax^2-bxy+2y^2+i\left(x^2+cxy+dy^2\right)
Hopefully you understand my whole work. If you still have any doubt, please let me know in comments. I shall actively reply you.