Find the solution x (t) of the IVP given as z" + 4x' + 13x = f (t) x (0) = 0 and a' (0) = 0 %3D A) r (t) = f (t- sin 27 dt B) z(1) = [r(e-7) e* -37 sin 27 dt C) r (t) = f (t D) a (t) = ÷ | f (t – T) e-2" sin 37T dr E) x (t) = f (t -27 sin 37 dt

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 10E
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Find the solution x (t) of the IVP given as
z" + 4x' + 13x = f (t)
a (0) = 0 and a' (0) = 0
A) r (t) =
f (t-
sin 27 dt
B) r() = [r(«-r) *
-37 sin 27 dt
C) r (t) =
f (t
e27 sin 37 dr
D) a (t) = ÷ | f (t – T) e-2"
sin 37 dr
E) x (t) =
e-27 sin 37 dt
Transcribed Image Text:Find the solution x (t) of the IVP given as z" + 4x' + 13x = f (t) a (0) = 0 and a' (0) = 0 A) r (t) = f (t- sin 27 dt B) r() = [r(«-r) * -37 sin 27 dt C) r (t) = f (t e27 sin 37 dr D) a (t) = ÷ | f (t – T) e-2" sin 37 dr E) x (t) = e-27 sin 37 dt
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,