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Consider the initial value problem X" - 2x + x = -25 sin (2t); x(0)=0, x'(0)=0

Consider the initial value problem X" - 2x + x = -25 sin (2t); x(0)=0, x'(0)=0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3please show written work part C and D
(c) A particular solution of the differential equation is OA x (t)=3 sin (2t)-4 cos (2t) OB. xp (t)= -25e¹ sin (2t) OC. xp (t) = 25e¹ cos (2t) OD. xp (t) = 4 sin (2t) - 3 cos (2t) OE. None of the given answers is correct (d) The solution of the initial value problem is OA x(t)= - 3 cos (2t) + 4 sin (2t) + e² +2e=2t OB. x(t)= -25e¹ sin (2t) + e' cos (2t) OC. x(t)=25e¹ cos (2t) - 25e2t sin (2t) + e- 2¹ cos (21) OD. x(t) = -4 cos (2t) + 3 sin (2t) + 4e¹ - 10tet OE. None of the given answers is correct
Transcribed Image Text:(c) A particular solution of the differential equation is OA x (t)=3 sin (2t)-4 cos (2t) OB. xp (t)= -25e¹ sin (2t) OC. xp (t) = 25e¹ cos (2t) OD. xp (t) = 4 sin (2t) - 3 cos (2t) OE. None of the given answers is correct (d) The solution of the initial value problem is OA x(t)= - 3 cos (2t) + 4 sin (2t) + e² +2e=2t OB. x(t)= -25e¹ sin (2t) + e' cos (2t) OC. x(t)=25e¹ cos (2t) - 25e2t sin (2t) + e- 2¹ cos (21) OD. x(t) = -4 cos (2t) + 3 sin (2t) + 4e¹ - 10tet OE. None of the given answers is correct
Consider the initial value problem x"-2x + x = -25 sin (2t); x(0)=0, x'(0)=0 (a) The characteristic equation is given by OA 2-2r+1=0
Transcribed Image Text:Consider the initial value problem x"-2x + x = -25 sin (2t); x(0)=0, x'(0)=0 (a) The characteristic equation is given by OA 2-2r+1=0
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