NON-AUTONOMOUS ODE

How can I solve system of non-autonomous ordinary differentional equations ?

one example for what I am asking for ,

dx1/dt=x2

dx2/dt= -8*x1+ -4*x2+10*cos(2t)

I'll appreciate your help,

Warm Regards!

[Jan]

Numerically or symbolically?

[Doaa Mahmoud]

symbolically

[Torsten]

syms y(t)
sol = dsolve(diff(y,2)==-8*y-4*diff(y)+10*cos(2*t));
sol = simplify(sol)

sol = 

diff(sol,2)-(-8*sol-4*diff(sol)+10*cos(2*t))

ans = 

0

[Doaa Mahmoud]

thanks alot

[Doaa Mahmoud]

if i have initial conditions

x1=1

x2=0

t=0

How can I substitute in the sol?

[Torsten]

syms y(t)
dy = diff(y,t);
sol = dsolve(diff(y,2)==-8*y-4*diff(y)+10*cos(2*t),[y(0)==1,dy(0)==0]);
sol = simplify(sol)

sol = 

[Doaa Mahmoud]

thanks alot for your help