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Consider the following IVP: /" -10y' +9y = 5t, y(0) = -1, y'(0) = 2 %3D Find the general solution. 5 50 +–t+÷e¯9 – 2e' 8 89 31 -9t А у (1) 81 50 5 31 l – B y(t) = -+-t+ –e"- 2e' +-t+-e 81 9 81 5 5 +-t²e'- 89 31 -e-9 + 2e-21 81 y(t) 81 5 31 e -' - e-21 81 D y(t) : 81 89 ||

Consider the following IVP: /" -10y' +9y = 5t, y(0) = -1, y'(0) = 2 %3D Find the general solution. 5 50 +–t+÷e¯9 – 2e' 8 89 31 -9t А у (1) 81 50 5 31 l – B y(t) = -+-t+ –e"- 2e' +-t+-e 81 9 81 5 5 +-t²e'- 89 31 -e-9 + 2e-21 81 y(t) 81 5 31 e -' - e-21 81 D y(t) : 81 89 ||

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'' -10y' +9y = 5t, y(0) = -1, y'(0) = 2 Find the general solution.
Consider the following IVP: y" -10y' +9y = 5t, y(0) = -1, y'(0) = 2 Find the general solution. 31 5 y (t) = – 8 50 -t+ - 89 -9t – 2e' (A) 81 50 5 31 (B -t+-e"– 2e' 81 y(t) | 81 5 5 31 -9t C) y(t) = 1Pe' - '+ 2e -21 + 81 89 81 5 D y (t) + 81 89 81 +
Transcribed Image Text:Consider the following IVP: y" -10y' +9y = 5t, y(0) = -1, y'(0) = 2 Find the general solution. 31 5 y (t) = – 8 50 -t+ - 89 -9t – 2e' (A) 81 50 5 31 (B -t+-e"– 2e' 81 y(t) | 81 5 5 31 -9t C) y(t) = 1Pe' - '+ 2e -21 + 81 89 81 5 D y (t) + 81 89 81 +
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