ODE No. 438

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

✓ Mathematica : cpu = 0.0320164 (sec), leaf count = 21

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

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

✓ Maple : cpu = 0.01 (sec), leaf count = 17

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

\[y \left (x \right ) = \frac {c_{1}}{x}\]