ODE No. 462

\[ y(x) y'(x)^2-1=0 \] Mathematica : cpu = 0.0296313 (sec), leaf count = 43

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

\[\left \{\left \{y(x)\to \left (\frac {3}{2}\right )^{2/3} (-x+c_1){}^{2/3}\right \},\left \{y(x)\to \left (\frac {3}{2}\right )^{2/3} (x+c_1){}^{2/3}\right \}\right \}\] Maple : cpu = 0.046 (sec), leaf count = 27

dsolve(y(x)*diff(y(x),x)^2-1 = 0,y(x))
 

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