2.308   ODE No. 308

\[ 2 y(x)^3 y'(x)+x y(x)^2=0 \]

✓ Mathematica : cpu = 0.014046 (sec), leaf count = 55

DSolve[x*y[x]^2 + 2*y[x]^3*Derivative[1][y][x] == 0,y[x],x]
 

\[\left \{\{y(x)\to 0\},\left \{y(x)\to -\frac {\sqrt {-x^2+4 c_1}}{\sqrt {2}}\right \},\left \{y(x)\to \frac {\sqrt {-x^2+4 c_1}}{\sqrt {2}}\right \}\right \}\]

✓ Maple : cpu = 0.014 (sec), leaf count = 37

dsolve(2*y(x)^3*diff(y(x),x)+x*y(x)^2 = 0,y(x))
 

\[y \left (x \right ) = 0\]