ODE No. 1759

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

✓ Mathematica : cpu = 0.152817 (sec), leaf count = 18

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

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

✓ Maple : cpu = 0.032 (sec), leaf count = 31

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

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