f(t)=te¹ + Tf(t - T)dT a. f(t)=sin(t)-tsin(t) t²e¹, 3te¹ b. f(t)= + 4 4 c. f(t)=sin(t) + cos(t) d. f(t)= 4t 17 + 3t e. f(t)= + 10 e 8 64sin(√17t) 17√17 27sin(√10t) 10√10

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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Use the Laplace transform to solve the given integral equation.
+ S' Tf
f(t) = te¹ +
C
a. f(t)=sin(t)-tsin(t)
f(t)-²3²-
+
4
b. f(t) ==
Tf(t - T)dT
t²e 3te e-t
8
e. f(t)=
4
c. f(t)=sin(t) + cos(t)
4t
d. f(t)= +
17
3t
10
64sin(√17t)
17√17
27sin(√10t)
10√10
8
Transcribed Image Text:Use the Laplace transform to solve the given integral equation. + S' Tf f(t) = te¹ + C a. f(t)=sin(t)-tsin(t) f(t)-²3²- + 4 b. f(t) == Tf(t - T)dT t²e 3te e-t 8 e. f(t)= 4 c. f(t)=sin(t) + cos(t) 4t d. f(t)= + 17 3t 10 64sin(√17t) 17√17 27sin(√10t) 10√10 8
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