ODE No. 1747

\[ 3 y(x) y''(x)-5 y'(x)^2=0 \]

✓ Mathematica : cpu = 0.119367 (sec), leaf count = 20

DSolve[-5*Derivative[1][y][x]^2 + 3*y[x]*Derivative[2][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to \frac {c_2}{(2 x+3 c_1){}^{3/2}}\right \}\right \}\]

✓ Maple : cpu = 0.025 (sec), leaf count = 17

dsolve(3*diff(diff(y(x),x),x)*y(x)-5*diff(y(x),x)^2=0,y(x))

\[-\frac {3}{2 y \left (x \right )^{{2}/{3}}}-x c_{1} -c_{2} = 0\]