2.981   ODE No. 981

\[ y'(x)=\frac {a^3 x^3 y(x)^3+3 a^2 x^2 y(x)^2+a^2 x+3 a x y(x)+1}{a^3 x^3} \] Mathematica : cpu = 0.148008 (sec), leaf count = 49


\[\left \{\left \{y(x)\to -\frac {1}{a x}-\frac {1}{\sqrt {-2 x+c_1}}\right \},\left \{y(x)\to -\frac {1}{a x}+\frac {1}{\sqrt {-2 x+c_1}}\right \}\right \}\] Maple : cpu = 0.019 (sec), leaf count = 41


\[y \relax (x ) = -\frac {1}{\sqrt {c_{1}-2 x}}-\frac {1}{x a}\]