ANALYSIS+DESIGN OF LINEAR CIRCUITS(LL)
8th Edition
ISBN: 9781119235385
Author: Thomas
Publisher: WILEY
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The Laplace transform of the following
function is:
f(t) = 8u(t-1) + 2u(t − 5) – u(t)
-
Select one:
a. F(s) = §els
b.
O ○ c.
F(s) =
F(s) =
O d. F(s)
= =
els es
90/0000100
e
-
-
+ / e-8
2
-
e+e-
³ + 3/2e
-
1
8²
e + ²/e-58-1
8
S
⠀
حفظ
Laplace Transform
H.W
Find the Laplace transform of the following
1- 4t sin2t
e-t-e-3t
2-
t
3- t³ e-3t
4- (t+2)² et
5- e-t( 3 sinh 2t – 5 cosh 2t)
6- 4 cos² 2t
7- e-t sin² t
8- Lf"(t) = tan
9- Sinh2t cos2t
10-e-³t ft sin2t dt
11- [t+√t]²
12- tu(t-2)
13-
f(t)
an−¹(²), f(0)=2, f'(0)=-1_ find £ f(t)
ИМ
k
0
2k
3k
C
HI
Lec. Huda I.
A
I.
Find the Laplace Transform of the following:
t
a. Se-2t sin 5t dt
d
b.
e-t cos 10t)
dt
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- Find L(sint sin 2t sin 3t) Find L(1+e-³¹ - 5et) H.W -3t é 01 Find the Laplace Transform of f(t) = 0arrow_forwardwhat is the laplace transform of the given differential equation? y'' - 2y' - 1 = 0 , y (0) = 0 , y' (0) = 1arrow_forwardFind the Laplace Transform of the following functions +2 6) f(t):ed' cos(t) Ans. F(S)=(s—_:2?Tl 8) f(t)=(t—mu,1) Ans. F(s)=°— sarrow_forward
- İn delta function is; δ(t-t0) =0 , t ≠t0 , integrate δ(t-t0) t=0 to t=infinity equals to 1. According to this what is the Laplace transform of this independent value function? y''+4y=δ(t-π)-δ(t-2π) y(0)=0 y'(0)=0arrow_forward6. Find the inverse Laplace transform of X(s) = (s² +a²)² a) t sinat b) t sinat C) t cosat d) 2a t cosat 178% O Start TOSHIBAarrow_forwardQuestion: - Find the Laplace Transform of the four functions? 4- f(t) = t sin(t) e-5t dt %3Darrow_forward
- Determine the z-transform of the following sequence: y(n) = (0.5)(n-5).u(n – 5)arrow_forwardInstructions: • Write the GIVEN with their respective symbols and units. Do not skip the SOLUTIONS, do it step-by-step with their respective symbols and units Problem: Using the convolution integral find the inverse transform of 1/s(s + 2). Answer: |[1 – e-2"]arrow_forwardThe inverse Laplace transform of the following function is: F(s)= s-3 O a. f(t) = 5e-3tu(t) O b. None of the answers O c. f(t) = 5e³u(t) С. d. f(t) = 5e3su(t) = 5e3$u(t) O e. f(t) = 5e-38u(t)arrow_forward
- 45 + 3 Determine the inverse transform of F(s)= (s? + 2s +5)arrow_forwardFind the Inverse Laplace Transform of the following functions (cos(2t) Ans. f(t)={ t > T se 16) F(s)= s? +4 elsewhere s+12 Ans. f(t)=3- 2e*" 41 18) F(s) = s² + 4sarrow_forwardWhat will be the Laplace transform of the function x(t)=10u(t)? Please show me step by step solution since I am new in this domain.arrow_forward
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