3.7 How to know the type of ODE?

Maple can classify the ODE.

 
eq1:= diff(y(x),x$2)-3*diff(y(x),x)+2*y(x)=10*exp(5*x); 
R0 := DEtools['odeadvisor'](eq1,y(x)); 
 
          R0 := [[_2nd_order, _with_linear_symmetries]]
 

To get help on this type of ODE, do

DEtools['odeadvisor'](eq1,'help');