ODE No. 1035

\[ a y'(x)+b y(x)+y''(x)=0 \] Mathematica : cpu = 0.004556 (sec), leaf count = 58

DSolve[b*y[x] + a*Derivative[1][y][x] + Derivative[2][y][x] == 0,y[x],x]
 

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

dsolve(diff(diff(y(x),x),x)+a*diff(y(x),x)+b*y(x)=0,y(x))
 

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