ODE No. 981

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

\[ y'(x)=\frac {a^3 x^3 y(x)^3+3 a^2 x^2 y(x)^2+a^2 x+3 a x y(x)+1}{a^3 x^3} \] Mathematica : cpu = 0.0163012 (sec), leaf count = 49

\[\left \{\left \{y(x)\to -\frac {1}{a x}-\frac {1}{\sqrt {c_1-2 x}}\right \},\left \{y(x)\to \frac {1}{\sqrt {c_1-2 x}}-\frac {1}{a x}\right \}\right \}\] Maple : cpu = 0.034 (sec), leaf count = 41

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