2.371   ODE No. 371

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

\[ \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})^2-\text {Global$\grave { }$y}(\text {Global$\grave { }$x})^3+\text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2=0 \] Mathematica : cpu = 0.0237715 (sec), leaf count = 37

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

Maple : cpu = 0.692 (sec), leaf count = 20

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