2.371   ODE No. 371

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y'(x)^2-y(x)^3+y(x)^2=0 \] Mathematica : cpu = 0.0565052 (sec), leaf count = 37

\[\left \{\left \{y(x)\to 1+\tan ^2\left (\frac {-x+c_1}{2}\right )\right \},\left \{y(x)\to 1+\tan ^2\left (\frac {x+c_1}{2}\right )\right \}\right \}\] Maple : cpu = 0.126 (sec), leaf count = 20

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