ODE No. 1769

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

✓ Mathematica : cpu = 0.176638 (sec), leaf count = 18

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

\[\left \{\left \{y(x)\to c_2 \left (\sqrt {x}+c_1\right ){}^2\right \}\right \}\]

✓ Maple : cpu = 0.113 (sec), leaf count = 21

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

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