4.301   ODE No. 1301

\[ \boxed { \left ( a{x}^{2}+bx \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +2\,b{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -2\,ay \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.033004 (sec), leaf count = 31 \[ \left \{\left \{y(x)\to \frac {c_2 (a x+b)^3}{3 a x}+\frac {c_1}{x}\right \}\right \} \]

Maple: cpu = 0.016 (sec), leaf count = 22 \[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{x}}+{\frac {{\it \_C2 }\, \left ( ax+b \right ) ^{3}}{x}} \right \} \]