For next Riccati d.e $ y' = (y^2) - 2 x^2 y + (x^4) + 2 x + 4 $ with DSolve i get Complex general solution
Opres = DSolve[y'[x] == y[x]^2-2x^2*y[x]+x^4+2x+4, y[x], x]
$\left\{\left\{y(x)\to \frac{1}{c_1 e^{4 i x}-\frac{i}{4}}+x^2-2 i\right\}\right\}$
Like you told me here in some my posts that DSolve working with Complex numbers and etc, i want you ask next:
On my universitet in Serbia in our definition for General Solution we are taking only REAL"S General Solution. My teacher told that we took that definition from Rusian's book's, and we do not take complex general solutions.
My question: Is it posible command DSolve to do only with real's numbers and give me only real's general solution ?
Tnx.