2.974   ODE No. 974

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

\[ y'(x)=3 x^4 y(x)-3 x^2 y(x)^2-x^6+y(x)^3+2 x \] Mathematica : cpu = 0.0835751 (sec), leaf count = 39

\[\left \{\left \{y(x)\to x^2-\frac {1}{\sqrt {-2 x+c_1}}\right \},\left \{y(x)\to x^2+\frac {1}{\sqrt {-2 x+c_1}}\right \}\right \}\] Maple : cpu = 0.091 (sec), leaf count = 57

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