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Find the general solution of the following ODE d²x dt² dx 4 = 3-e4t dt

Find the general solution of the following ODE d²x dt² dx 4 = 3-e4t dt

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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Find the general solution of the following ODE d²x dt² - dx 4- dt = 3- - = e4t
Transcribed Image Text:Find the general solution of the following ODE d²x dt² - dx 4- dt = 3- - = e4t
Stebry ур the particular ур = 1 D(D-4) 1 D (D-4) 3 3 mla 01 -4 D x 3 3 t q -4) - (3-e²t) - - ot e D(0-4) (5-4) It Solution - 47 te 4 D(0-4) I te 4 (D-4) D e 44 It x. q 1 99 (D-a) сах them a хза
Transcribed Image Text:Stebry ур the particular ур = 1 D(D-4) 1 D (D-4) 3 3 mla 01 -4 D x 3 3 t q -4) - (3-e²t) - - ot e D(0-4) (5-4) It Solution - 47 te 4 D(0-4) I te 4 (D-4) D e 44 It x. q 1 99 (D-a) сах them a хза
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