You can use the DSOLVE command in the Symbolic Math Toolbox:
>> dsolve('D2y - Dy - 6*y = 0')
ans =
C4*exp(3*t) + C5/exp(2*t)
Alternately, you can use the MuPAD interface in MATLAB (by executing "mupad" at the MATLAB Command Line) and use the "ode::solve" function there.
Note that you would need a license to the Symbolic Math Toolbox to be able to use this functionality.
For more help see:
If you want to solve these ODE's numerically, you can use the ODE suite in MATLAB. For more help, see:
