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-) = te' +Tf(t-1)dt -tsin(t) f(t)=sin(t)-- the t²e¹ 3te¹ f(t)=- + 4 4 f(t)=sin(t) + cos(t) 4t f(t)= + 17 3t f(t) = + 10 e-t e¹ 8 8 64sin(√17t) 17√17 27sin(√10t) 10√10

-) = te' +Tf(t-1)dt -tsin(t) f(t)=sin(t)-- the t²e¹ 3te¹ f(t)=- + 4 4 f(t)=sin(t) + cos(t) 4t f(t)= + 17 3t f(t) = + 10 e-t e¹ 8 8 64sin(√17t) 17√17 27sin(√10t) 10√10

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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Use the Laplace transform to solve the given integral equation. t + S' Tf 0 f(t) = te¹ + Tf(t-T)dT a. f(t)=sin(t)--tsin(t) t²e 3te b. f(t)=- + 4 4 c. f(t)=sin(t) + cos(t) 4t d. f(t)= + 17 e -1 8 64sin(√17t) 17√17 3t 27sin(√10t) 10√10 e. f(t)= + 10 et 8
Transcribed Image Text:Use the Laplace transform to solve the given integral equation. t + S' Tf 0 f(t) = te¹ + Tf(t-T)dT a. f(t)=sin(t)--tsin(t) t²e 3te b. f(t)=- + 4 4 c. f(t)=sin(t) + cos(t) 4t d. f(t)= + 17 e -1 8 64sin(√17t) 17√17 3t 27sin(√10t) 10√10 e. f(t)= + 10 et 8
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