ANALYSIS+DESIGN OF LINEAR CIRCUITS(LL)
8th Edition
ISBN: 9781119235385
Author: Thomas
Publisher: WILEY
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Chapter 9, Problem 9.2P
To determine
The Laplace transform of
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1. Find the Laplace transform of the given functions, where a and b are constants
a) eat sinh bt
b) eat cosh bt
Find the Laplace transform of each of the following functions:
1. f(t)=te−at;
2. f(t)=sin ωt;
3. f(t)=sin (ωt+θ);
4. f(t)=t;
5. f(t)=cosh(t+θ).
The funtion of x is given below by
{2, zero<t<5}
{0, five<t<10}
{e^4t, ten<t}
Fnd the laplace transform of the the function of x above
Chapter 9 Solutions
ANALYSIS+DESIGN OF LINEAR CIRCUITS(LL)
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- Get Laplace transform of 100/((s+1)^2*(10s^2+13s+508))arrow_forwardFunction of x equals {2, zero<t<five} {0, five<t<ten} {e^4t, ten<t} What is the Laplace transform of the function of x above? N.b Kindly note the less than & greater signs very well.arrow_forwardWrite the function in terms of unit step functions. Find the Laplace transform of the given function. f(t) = 0, 0 ≤ t < 1 t2, t ≥ 1 F(s) =arrow_forward
- Function of x equals {2, zero<t<five} {0, five<t<ten} {e^4t, ten<t} Find the Laplace transform of the function of x abovearrow_forwardFind the Laplace Transform of the following functions -xs 10) f()=u,(1)sin(r) Ans. F(s)=—< s +1 k k 12 , F(s)=———— ) Ans. F(s) sdte™) 0 & 22 3a 4a 'arrow_forwardFind the inverse laplace transform of 1/s^2+2s+2arrow_forward
- Find 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_forwardLet F(s) = [cs/ (s +a) (s + b) , where a=6.8, b= 3, c= 9.1 The inverse Laplace transform of F(s) is f(t) = Xe^-at + Ye^-bt What is the value of X?arrow_forwardDerive the Laplace Transform of the following functions: sinh(bt) cosh(bt)arrow_forward
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