Given the following, determine the coefficient α 1
​
in V c
​
(t) V c
​
(t)=e −ζω n
​
t
(α 1
​
e ω n
​
t ζ 2
−1
​
+α 2
​
e −ω n
​
t ζ 2
−1
​
)+V c
​
([infinity])
ω n
​
=452rad/sec
(zeta)ζ=8.4
Vc(O+)=4 V
Vc([infinity])=9 V
dt
dV c
​
(0+)
​
=8 V/s
​