ODE No. 974

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

\[ y'(x)=-x^6+3 x^4 y(x)-3 x^2 y(x)^2+y(x)^3+2 x \] Mathematica : cpu = 0.0101114 (sec), leaf count = 39

\[\left \{\left \{y(x)\to x^2-\frac {1}{\sqrt {c_1-2 x}}\right \},\left \{y(x)\to \frac {1}{\sqrt {c_1-2 x}}+x^2\right \}\right \}\] Maple : cpu = 0.055 (sec), leaf count = 57

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