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 = 0.0047663 (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 = 0.077 (sec), leaf count = 41

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-{\frac {x}{2} \left ( a-\sqrt {{a}^{2}-4\,b} \right ) }}}+{\it \_C2}\,{{\rm e}^{-{\frac {x}{2} \left ( a+\sqrt {{a}^{2}-4\,b} \right ) }}} \right \} \]