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 = 0.0413158 (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 = 0.059 (sec), leaf count = 20

\[ \left \{ y \left ( x \right ) =1,y \left ( x \right ) = \left ( \tan \left ( -{\frac {x}{2}}+{\frac {{\it \_C1}}{2}} \right ) \right ) ^{2}+1 \right \} \]