2.1035   ODE No. 1035

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

\[ a y'(x)+b y(x)+y''(x)=0 \] Mathematica : cpu = 0.0059992 (sec), leaf count = 58

\[\left \{\left \{y(x)\to c_1 e^{\frac {1}{2} x \left (-\sqrt {a^2-4 b}-a\right )}+c_2 e^{\frac {1}{2} x \left (\sqrt {a^2-4 b}-a\right )}\right \}\right \}\] Maple : cpu = 0.01 (sec), leaf count = 41

\[\left \{y \left (x \right ) = c_{1} {\mathrm e}^{-\frac {\left (a -\sqrt {a^{2}-4 b}\right ) x}{2}}+c_{2} {\mathrm e}^{-\frac {\left (a +\sqrt {a^{2}-4 b}\right ) x}{2}}\right \}\]