2.974   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 = 0.102738 (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 = 0.039 (sec), leaf count = 57

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