3.6 How to verify that the ODE solution given is correct?

use odetest and check if it gives zero.

eq1:= diff(diff(y(x),x),x)-3*diff(y(x),x)+2*y(x)=10*exp(5*x); 
ans:=dsolve({eq1,IC},y(x)); 
odetest(ans,eq1); 
 
                 0