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

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

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: у" -Зу' -10у %3D 1, У() %3-1, у'(0) 3D 2 Find the general solution. 12 + 35 A У (t) ,2r - 5t_ 13 21 %3D | 14 10 13 -2r B У () + 10 35 - - 14 5t e"+ 14e-21 (c) y(t) = - 35 + 10 13 13 21 (D y (t) = у (1) + 35 %3D - 10 14 ||
Transcribed Image Text:Consider the following IVP: у" -Зу' -10у %3D 1, У() %3-1, у'(0) 3D 2 Find the general solution. 12 + 35 A У (t) ,2r - 5t_ 13 21 %3D | 14 10 13 -2r B У () + 10 35 - - 14 5t e"+ 14e-21 (c) y(t) = - 35 + 10 13 13 21 (D y (t) = у (1) + 35 %3D - 10 14 ||
Consider the following IVP: y' +y = e2t ; y(0) = 0 Find the general solution. 1 A y(t) = -t 1 B y(t) -2r 3 3 (©) y(t) 3 3 (D) y(t) = --e -2r + | | 5 - |5
Transcribed Image Text:Consider the following IVP: y' +y = e2t ; y(0) = 0 Find the general solution. 1 A y(t) = -t 1 B y(t) -2r 3 3 (©) y(t) 3 3 (D) y(t) = --e -2r + | | 5 - |5
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