Troubleshooting Derive 6 for a BV Problem

[gtfitzpatrick]

i'm not sure if this is the right place but I'm trying to get my head around derive 6 and i have a couple of questions that don't seem to be coming out right...

d^{2}y/dx^{2} + 8dy/dx + 16y = (4e^{-4x})(sinx+cosx)^{2} ; y(0)=y'(0)=0


so i inputed DSOLVE2_BV(8, 16, (4·^(- 4·x))·(SIN(x) + COS(x)) ∧ 2, x, 0, 0)

but its not throwing up the right answer?

 

[Defennder]

Are you doing this by hand or computer? If you're solving it by hand, note that the variation of parameters works here; only problem is that the integrals you have to solve for the particular solutions can be rather difficult, though doable.

 

[gtfitzpatrick]

trying by computer, using a program called derive