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Consider the following IVP: y"-10y' +9y = 5t, y(0) = -1, y'(0) = 2 Find the general solution. 5 50 +-t+ 8 (A y (t) = 31 -9t - 2e' -e 89 81 50 + -t+ 81 31 91 – 2e' B) у (1) 9 81 5 31 (c) y (t) = 81 89 81 5 31 -t?e' – e-9 + 2e -2r D y (t) = 81 89 81 |

Consider the following IVP: y"-10y' +9y = 5t, y(0) = -1, y'(0) = 2 Find the general solution. 5 50 +-t+ 8 (A y (t) = 31 -9t - 2e' -e 89 81 50 + -t+ 81 31 91 – 2e' B) у (1) 9 81 5 31 (c) y (t) = 81 89 81 5 31 -t?e' – e-9 + 2e -2r D y (t) = 81 89 81 |

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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Please use Laplace Transform Method

Consider the following IVP: y"-10y' +9y = 5t, y(0) = -1, y'(0) = 2 Find the general solution. 5 50 +-t+ 8 (A y (t) = 31 -9t - 2e' -e 89 81 50 + -t+ 81 31 91 – 2e' B) у (1) 9 81 5 31 (c) y (t) = 81 89 81 5 31 -t?e' – e-9 + 2e -21 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. 5 50 +-t+ 8 (A y (t) = 31 -9t - 2e' -e 89 81 50 + -t+ 81 31 91 – 2e' B) у (1) 9 81 5 31 (c) y (t) = 81 89 81 5 31 -t?e' – e-9 + 2e -21 D y (t) = 81 89 81 |
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