Example 2: Find a particular solution of
.
> diff(a*exp(x)*sin(x)+b*exp(x)*cos(x),x,x)-3*diff(a*exp(x)*sin(x)+b*exp(x)*cos(x),x)+2*(a*exp(x)*sin(x)+b*exp(x)*cos(x))-exp(x)*sin(x);
> p:=unapply(%,x);
> solve({p(0)=0,p(1)=0},{a,b});
Hence
.