How to solve two 2nd order differential equations using ode's

my system is as follows. x"+ x'+ x + y'=0; y"+ y'+ y + x'=0; Thanks in advance for the help.

Answer 1

[Birdman]

Here is an approach, with symbolic way:

syms x1(t) x2(t)
eq1=diff(x1,2)+diff(x1,1)+x1+diff(x2,1)==0;
eq2=diff(x2,2)+diff(x2,1)+x2+diff(x1,1)==0;
solx=dsolve([eq1,eq2]);
x1(t)=solx.x1
x2(t)=solx.x2

[Ebraheem Menda]

Thank you Birdman. i am currently trying to solve my system. will come back soon.

[Ebraheem Menda]

Birdman can you please tell me how to solve this using ode45 or any other. Thanks in advance for the help.

[Birdman]

I do not know how to use ode45. Maybe you should open a new question in forum.

[Ebraheem Menda]

Ok. Thank You.