could you please solve number 2 Find the general solution of

could you please solve number 2

Find the general solution of dy/dt = Ay, where A = [4 0 1 4]. Repeat exercise 1) above, but now let A =[0 0 0 0].

Solution

Let, y=[u v]^T

So the system is

u\'=0

v\'=0

INtegrating gives

u=C, v=D

C,D are arbitrary constant to be obtained after applying initial condtions