4.10   ODE No. 1010

\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( ax+b \right ) y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.006001 (sec), leaf count = 46 \[ \left \{\left \{y(x)\to c_1 \text {Ai}\left (\frac {-b-a x}{(-a)^{2/3}}\right )+c_2 \text {Bi}\left (\frac {-b-a x}{(-a)^{2/3}}\right )\right \}\right \} \]

Maple: cpu = 0.062 (sec), leaf count = 31 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm Ai}\left (-{(ax+b){a}^{- {\frac {2}{3}}}}\right )}+{\it \_C2}\,{{\rm Bi}\left (-{(ax+b){a}^{-{ \frac {2}{3}}}}\right )} \right \} \]