2.371   ODE No. 371

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

✓ Mathematica : cpu = 0.07299 (sec), leaf count = 37

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

\[\left \{\left \{y(x)\to 1+\tan ^2\left (\frac {-x+c_1}{2}\right )\right \},\left \{y(x)\to 1+\tan ^2\left (\frac {x+c_1}{2}\right )\right \}\right \}\]

✓ Maple : cpu = 0.111 (sec), leaf count = 20

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

\[y \left (x \right ) = 1\]