H.W (2) Find Laplace Transform for 1-f(t) = 2t³; 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 3–f(t)=sinh(2t); 5-cosh (t) sin(2t); 6-f(t)=cos³t. 7-cos(3t) sin(t); 8-f(t)=sin(-t). 9- f(t) = sin(3t) cos(4t); 10-f(t)=1-cos(wt). 11-f(t) = sinh(2t) cos(3t); 12-f(t) = cosh (at) cos(a 13 – Find Gamma Function for (a)T(5); (b)r (7); (c)r 3 14- Find L{1"} for (a)n=-=-¹; (b)n = 2; (a)n = ² · 2 2 15- Find L[e" L[e" 1%] idi er
H.W (2) Find Laplace Transform for 1-f(t) = 2t³; 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 3–f(t)=sinh(2t); 5-cosh (t) sin(2t); 6-f(t)=cos³t. 7-cos(3t) sin(t); 8-f(t)=sin(-t). 9- f(t) = sin(3t) cos(4t); 10-f(t)=1-cos(wt). 11-f(t) = sinh(2t) cos(3t); 12-f(t) = cosh (at) cos(a 13 – Find Gamma Function for (a)T(5); (b)r (7); (c)r 3 14- Find L{1"} for (a)n=-=-¹; (b)n = 2; (a)n = ² · 2 2 15- Find L[e" L[e" 1%] idi er
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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![H.W (2)
Find Laplace Transform for
1- f(t) = 2t³;
3–f (t)=sinh(2t);
5-cosh (t) sin(2t);
7- cos (3t).sin(t);
9-f(t)=sin(3t) - cos (4t);
2-f(t)=3e²¹.
4-f(t) = 2 cos(3t).
6-f(t) = cos't.
8-f(t)=sin(-t)
10-f(t)=1-cos(wt).
12-f(t) = cosh (at) cos(a
11- f(t) = sinh(2t) · cos(3t);
13- Find Gamma Function for (a)r (5); (b)r 7
(27); (c)
=
2
14- Find L{1} for (a)n == ; (b)n = en
15- Find L[e*
L[e" 1%]
t
T
vidi
mia
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fada711ff-7a34-4eab-8725-28a2d52e2aaa%2F5a806cf3-d6b3-4368-bc88-ec29bfdc7be9%2F71c2ev_processed.jpeg&w=3840&q=75)
Transcribed Image Text:H.W (2)
Find Laplace Transform for
1- f(t) = 2t³;
3–f (t)=sinh(2t);
5-cosh (t) sin(2t);
7- cos (3t).sin(t);
9-f(t)=sin(3t) - cos (4t);
2-f(t)=3e²¹.
4-f(t) = 2 cos(3t).
6-f(t) = cos't.
8-f(t)=sin(-t)
10-f(t)=1-cos(wt).
12-f(t) = cosh (at) cos(a
11- f(t) = sinh(2t) · cos(3t);
13- Find Gamma Function for (a)r (5); (b)r 7
(27); (c)
=
2
14- Find L{1} for (a)n == ; (b)n = en
15- Find L[e*
L[e" 1%]
t
T
vidi
mia
3
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