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 = 0.0274511 (sec), leaf count = 37

\[\left \{\left \{y(x)\to \tan ^2\left (\frac {1}{2} \left (c_1-x\right )\right )+1\right \},\left \{y(x)\to \tan ^2\left (\frac {1}{2} \left (c_1+x\right )\right )+1\right \}\right \}\] Maple : cpu = 0.094 (sec), leaf count = 20

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