2.232   ODE No. 232

\[ x^2+x y(x) y'(x)+y(x)^2=0 \]

✓ Mathematica : cpu = 0.059813 (sec), leaf count = 56

DSolve[x^2 + y[x]^2 + x*y[x]*Derivative[1][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to -\frac {\sqrt {-x^4+2 c_1}}{\sqrt {2} x}\right \},\left \{y(x)\to \frac {\sqrt {-x^4+2 c_1}}{\sqrt {2} x}\right \}\right \}\]

✓ Maple : cpu = 0.02 (sec), leaf count = 39

dsolve(x*y(x)*diff(y(x),x)+y(x)^2+x^2 = 0,y(x))
 

\[y \left (x \right ) = -\frac {\sqrt {-2 x^{4}+4 c_{1}}}{2 x}\]