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In Exercises 1-8, find the general solution of the given differential equation. d'y dy dt² dt 1. 3. - d²y dy dt² dt -6y=e4t -бу=4 -2y = 5e³ dt +13y=-3² 7. 4-5 +4y=e²4 dr 2. +6- dt2 dt d²y 4.+4dy dr2 8. +8y=2e-3r +13y=et dt dy d1² d: +10y=2 +7 dr-6y=4e-31

In Exercises 1-8, find the general solution of the given differential equation. d'y dy dt² dt 1. 3. - d²y dy dt² dt -6y=e4t -бу=4 -2y = 5e³ dt +13y=-3² 7. 4-5 +4y=e²4 dr 2. +6- dt2 dt d²y 4.+4dy dr2 8. +8y=2e-3r +13y=et dt dy d1² d: +10y=2 +7 dr-6y=4e-31

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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In Exercises 1-8, find the general solution of the given differential equation. d²y dt2 1. 3. 5. 7. d²y dy dt² dt d²y dy dt² dt d²y dt² d²y dt² - 6y=e4t - 2y = 5e³t dy +4 dt dy 5+4y=e4t dt -2t + 13y = -3e 2. 4. 6. dy +6- +8y=2e-3t dt d²y dy +4- + 13y = et dt² dt d²y dy +7 +10y = e dt2 dt d²y dy 8. + dt² dt -2t - бу = 4e-3t
Transcribed Image Text:In Exercises 1-8, find the general solution of the given differential equation. d²y dt2 1. 3. 5. 7. d²y dy dt² dt d²y dy dt² dt d²y dt² d²y dt² - 6y=e4t - 2y = 5e³t dy +4 dt dy 5+4y=e4t dt -2t + 13y = -3e 2. 4. 6. dy +6- +8y=2e-3t dt d²y dy +4- + 13y = et dt² dt d²y dy +7 +10y = e dt2 dt d²y dy 8. + dt² dt -2t - бу = 4e-3t
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