Find the general solution of the fourth order linear equation y(4) + 4y" + 4y = 0 O a. y(t) Ciev2 (/2t) + Czev2 sin (V2t) + Czte v24 cos (V2t) + c,te sin (V2t) COS Ob. y(t) = cjev + C2e + cztev + czte v2t c. y(t) = C1 cos (V2t) + c2 sin (v2t) + C3t cos (V2t) + cạt sin (V2t) d. y(t) = cjevt cos (v2t) + czev2t sin (v2t) + eztev cos (V2t) + Cate24 sin (V2t)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the general solution of the fourth order linear equation
y4 + 4y" + 4y – 0
y(t) = cev cos
(V2t) + czev sin (v2t) + Cste
cos (v24) + czte
sin (V2t)
b.
y(t) = cjev
C2e
Cztev + c,te v2t
C.
y(t) = C1 cos (v2t) + c2 sin (v2t) c3t cos (/2t) + cat sin (V2t)
Od.
y(t) = c,ev2,
cos (V2t) + ceve sin (v2t) + czter cos
(V2t) + catev
sin (v2t)
Transcribed Image Text:Find the general solution of the fourth order linear equation y4 + 4y" + 4y – 0 y(t) = cev cos (V2t) + czev sin (v2t) + Cste cos (v24) + czte sin (V2t) b. y(t) = cjev C2e Cztev + c,te v2t C. y(t) = C1 cos (v2t) + c2 sin (v2t) c3t cos (/2t) + cat sin (V2t) Od. y(t) = c,ev2, cos (V2t) + ceve sin (v2t) + czter cos (V2t) + catev sin (v2t)
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