2.1141   ODE No. 1141

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

\[ (3 a+b x) y'(x)+a x y''(x)+3 b y(x)=0 \] Mathematica : cpu = 0.10938 (sec), leaf count = 62

\[\left \{\left \{y(x)\to \frac {1}{2} e^{-\frac {b x}{a}} \left (\frac {b^2 c_2 \text {Ei}\left (\frac {b x}{a}\right )}{a^2}-\frac {c_2 e^{\frac {b x}{a}} (a+b x)}{a x^2}+2 c_1\right )\right \}\right \}\]

Maple : cpu = 0.054 (sec), leaf count = 55

\[ \left \{ y \left ( x \right ) ={\frac {1}{{x}^{2}} \left ( {\it Ei} \left ( 1,-{\frac {bx}{a}} \right ) {{\rm e}^{-{\frac {bx}{a}}}}{\it \_C2}\,{b}^{2}{x}^{2}+{\it \_C1}\,{{\rm e}^{-{\frac {bx}{a}}}}{x}^{2}+a{\it \_C2}\, \left ( bx+a \right ) \right ) } \right \} \]