2.980   ODE No. 980

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

\[ y'(x)=\frac {x^3 y(x)^3+6 x^2 y(x)^2+12 x y(x)+2 x+8}{x^3} \] Mathematica : cpu = 0.147835 (sec), leaf count = 43

\[\left \{\left \{y(x)\to -\frac {2}{x}-\frac {1}{\sqrt {-2 x+c_1}}\right \},\left \{y(x)\to -\frac {2}{x}+\frac {1}{\sqrt {-2 x+c_1}}\right \}\right \}\] Maple : cpu = 0.015 (sec), leaf count = 35

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