Question

Texts: Tutorial Questions 1. Find the Laplace Transform of the following functions: i) f = 3 - e ii) f1 = cos(5t) + sinh(3r) iii) vf = 1 - 2 + 5t - 8 iv) vf = cosh(t) v) viif = sin(t)cos(t) vi) viif = e^cosh(t) vii) vf = 11 viii) xf1 = e^1 2. Evaluate: i) L{e^sin(t)} ii) L{f*sinh(t)} 3. Given f = 11 for 0 < t < 2, find L{} using the unit step function. 4. 5. Given f = 0 for t > 1.

Name: texts tutorial questions 1 find the laplace transform of the following functions i f 3 e ii f1 cos5t sinh3r iii vf 1 2 5t 8 iv vf cosht v viif sintcost vi viif ecosht vii vf 11 viii xf1 e1 2 02165
Uploaded: 2023-09-06T23:24:51-08:00
Duration: 1 min 57 s
Channel: Adi S
Description: texts tutorial questions 1 find the laplace transform of the following functions i f 3 e ii f1 cos5t sinh3r iii vf 1 2 5t 8 iv vf cosht v viif sintcost vi viif ecosht vii vf 11 viii xf1 e1 2 02165

          Texts: Tutorial Questions
1.
Find the Laplace Transform of the following functions: 
i) f = 3 - e 
ii) f1 = cos(5t) + sinh(3r) 
iii) vf = 1 - 2 + 5t - 8 
iv) vf = cosh(t) 
v) viif = sin(t)cos(t) 
vi) viif = e^cosh(t) 
vii) vf = 11 
viii) xf1 = e^1

2.
Evaluate: 
i) L{e^sin(t)} 
ii) L{f*sinh(t)}

3.
Given f = 11 for 0 < t < 2, find L{} using the unit step function.

4.

5.
Given f = 0 for t > 1.

texts tutorial questions 1 find the laplace transform of the following functions i f 3 e ii f1 cos5t sinh3r iii vf 1 2 5t 8 iv vf cosht v viif sintcost vi viif ecosht vii vf 11 viii xf1 e1 2 02165

Added by Cheryl S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/06/2023

Step 1

i) f = 3 - e The Laplace Transform of a constant is given by: L{a} = a/s Therefore, the Laplace Transform of 3 is: L{3} = 3/s The Laplace Transform of e^(-t) is given by: L{e^(-t)} = 1/(s+1) Using linearity property of Laplace Transform, we can find the Show more…

Show all steps

Thanks for your feedback!

Texts: Tutorial Questions 1. Find the Laplace Transform of the following functions: i) f = 3 - e ii) f1 = cos(5t) + sinh(3r) iii) vf = 1 - 2 + 5t - 8 iv) vf = cosh(t) v) viif = sin(t)cos(t) vi) viif = e^cosh(t) vii) vf = 11 viii) xf1 = e^1 2. Evaluate: i) L{e^sin(t)} ii) L{f*sinh(t)} 3. Given f = 11 for 0 < t < 2, find L{} using the unit step function. 4. 5. Given f = 0 for t > 1.