So the problem is dy/dx=-x/y. Im using Eulers method so i want to find an exact solution since one wasent given so i can compare the results.

Doing eulers method is fine, its just trying to find the exact solution so i can graph it in matlab thats giving me trouble

now i see this is separable so

dy*y=dx*-x

Intergrating i get an exact solution of

(y^2)/2 = (-x^2)/2

I leave out the constant, divide by 2 and sq rt both sides and get

y=(-x^2)^(1/2) ... 'sqrt(-x^2)'

Now i see this is complex cause we cant have negative in a square root.

So first, can anyone let me know is this the correct exact solution?