2.1747   ODE No. 1747

\[ 3 y(x) y''(x)-5 y'(x)^2=0 \] Mathematica : cpu = 0.0718027 (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 = 0.023 (sec), leaf count = 17

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

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