2.1466   ODE No. 1466

\[ a^3 (-y(x))+3 a^2 y'(x)-3 a y''(x)-e^{a x}+y^{(3)}(x)=0 \] Mathematica : cpu = 0.0081311 (sec), leaf count = 46


\[\left \{\left \{y(x)\to \frac {1}{6} x^3 e^{a x}+c_3 x^2 e^{a x}+c_2 x e^{a x}+c_1 e^{a x}\right \}\right \}\] Maple : cpu = 0.025 (sec), leaf count = 27


\[y \relax (x ) = \frac {{\mathrm e}^{a x} \left (x^{3}+6 x^{2} c_{3}+6 x c_{2}+6 c_{1}\right )}{6}\]