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Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A x(t) = -e"(12-21+1) (B x(t) = e'(212- t- 2) (c) C) x(t) = e 4 Le2 (13– 212+1) D) = e" (212– 21 – 1) x (t) =

Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A x(t) = -e"(12-21+1) (B x(t) = e'(212- t- 2) (c) C) x(t) = e 4 Le2 (13– 212+1) D) = e" (212– 21 – 1) x (t) =

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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Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A) = -e"(12– 2t+1) 2 ,2"(1²– 2t+ 1) x (t) (B x(t) = e'(212- t- 2) (c) c) x (t) = 4 -e²"(13–21²+ 1) (D) = e2" (212– 2t – 1) x (t) = e
Transcribed Image Text:Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A) = -e"(12– 2t+1) 2 ,2"(1²– 2t+ 1) x (t) (B x(t) = e'(212- t- 2) (c) c) x (t) = 4 -e²"(13–21²+ 1) (D) = e2" (212– 2t – 1) x (t) = e
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