Find the solution to the given system that satisfies the given initial condition. x ′
(t)=[ −5
10
​ −1
−3
​ ]x(t) (a)x(0)=[ −15
0
​ ] (b) x(π)=[ 1
−1
​ ] (c) x(−2π)=[ 3
1
​ ] (d) x( 6
π
​ )=[ 0
3
​ ] (a) x(t)=[ 5e −4t
sin3t−15e −4t
cos3t
−50e −4t
sin3t
​ ] (Use parentheses to clearly denote the argument of each function.) (b) x(t)=[ −e −4(t−π)
cos3t
e −4(t−π)
(cos3t−3sin3t)
​ ] (Use parentheses to clearly denote the argument of each function.) (c) x(t)= (Use parentheses to clearly denote the argument of each function.)