Integration of complex numbers

dy/dx = -i sq root (y)

If the variables are separated in such a way that sq.root of y goes on the left side and "i" remains on the right then the answer is C = 2 sq. root(y) +ix.

But if the variables are separated in such a way that i sq.root (y) is taken to the left leaving -1 on the right then the answer turns out to be C = x - i*2* sq. root(y).

Are both of these correct ?

Please help .

Re: Integration of complex numbers

Yes, they are exacty the **same** answer- though with different "C".

If you multiply both sides of C= 2sqrt(y)+ ix by -i you get -Ci= x- 2i sqrt(y).