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Consider the following IVP: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. A 5t -+-e 13 -21 y (t) 10 35 14 14 + -e+ 13 -21 y(1) = -- 35 10 y(1) 2r = --e+ -e 12 -5t 13 21 14 35 10 2r + 13 21 -5r y (1) = - 10 35 14

Consider the following IVP: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. A 5t -+-e 13 -21 y (t) 10 35 14 14 + -e+ 13 -21 y(1) = -- 35 10 y(1) 2r = --e+ -e 12 -5t 13 21 14 35 10 2r + 13 21 -5r y (1) = - 10 35 14

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: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. A 5t -+-e 13 -21 y (t) 10 35 14 14 + -e+ 13 -21 y(1) = -- 35 10 y(1) 2r = --e+ -e 12 -5t 13 21 14 35 10 2r + 13 21 -5r y (1) = - 10 35 14
Transcribed Image Text:Consider the following IVP: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. A 5t -+-e 13 -21 y (t) 10 35 14 14 + -e+ 13 -21 y(1) = -- 35 10 y(1) 2r = --e+ -e 12 -5t 13 21 14 35 10 2r + 13 21 -5r y (1) = - 10 35 14
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