2. Calculate the Laplace inverse transform using Matlab and simplify their results, and also solve them manually. [20pts]
F(s)= 6/s -1/(s-8) + 4/(s-3)
H(s)=19/(s+2) -1/(3s-5) + 7/(s5)
F(s)= 6s/(s2+25) + 3/(s2+25)
G(s)= 8/(3s2+12) + 3/(s2-49)
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2. Calculate the Laplace inverse transform using Matlab and simplify their results, and also solve them...
In MATLAB Use symbolic math to solve and plot Laplace Problem 3.17. Problem 3.17 Obtain the inverse Laplace transform of each of the following 4(s-4) x1(s) 22+16) a. 4 4s b. x2s) (s2+9) (s+5)e 25 x3(s)(s+1)(s+3) c. In MATLAB Use symbolic math to solve and plot Laplace Problem 3.17. Problem 3.17 Obtain the inverse Laplace transform of each of the following 4(s-4) x1(s) 22+16) a. 4 4s b. x2s) (s2+9) (s+5)e 25 x3(s)(s+1)(s+3) c.
Find the inverse Laplace transform a . 3 s4 - 2s s2 (3s2 + 4) 3 S4 – 25 (s + 1)(3s2 + 4s + 2) b.
3. Solve the following ditferential equations analytically by using Laplace transform] d2x dt2 d2x +163x 5cos3t where x(0)=0, =0 dt where x(0) = 0, 의@ = 0 dt CHECK YOUR ANSWER BY MATLAB 4. By using MATLAB find poles and zeros for the following transfer function. Then find inverse Laplace. 100 (s 5)(s 70) s(s+45) (s 55)(s2 7s 110)(s2 + 6s + 95) G(s)
Thank you! Chapter 13, Problem 13.35 (Circuit Solution) Find the inverse Laplace transform of the following functions. (a) F(s) -8 S+ 6 (b) F(s) - e (c) F(s)-1-e-6s S + 8 (a) Find ft) (inverse Laplace transform) at t = 9. (b) Find f(t) (inverse Laplace transform) at t = 3. (c) Find f(t) (inverse Laplace transform) at t7. ) (inverse Laplace transform) a
Find the inverse Laplace transform, £^{F(s)}, of each of the following functions. Be sure to show all your worl 1. F(S) (s+2)3 = s+1 2. F(s) = $2 +48 $2 3. F(s) = (8-1)(8+1)(s+2) • 4. F(s) 6s+3 $4+592 +4 5. F(s) = 16 1 S 6. F(s) (s+2)(s2+4)
8. Find the inverse Laplace transform L-{F} for F below (hint: complete the square). F(S) S + 10 S2 – 6s + 34
Write matlab code to solve problem 10- Find the inverse Laplace transform using the Partial-Fraction Expansion method. 38+4 s(s+1) it il 4-e? 4-e-21 4-2e-4
7e 3s Find the inverse Laplace transform of F(s) $2 + 49 f(t) = Note: Use (u(t-a)) for the unit step function shifted a units to the right.
Consider the signal x(t) that has a Laplace transform of the form: s2-3s +1 X (s) where a, a , β, and γ are real constants E Fs +G Write a MATLAB FUNCTION called "values" that will take the values of αι, α2,β, and y and compute the constants A, B, C, D, E, F, and G. The Matlab function will also take these computed values and plot the function x(t) (meaning you will have to plot the obtained values...
Using example for MATLAB code in part 2 When using inverse Laplace uses the ilaplase module in Matlab. Below is an example for F(s) (5-5) F (S) = s(s+ 2)2 symsts F=(5-5)/(s*(s+2)^2); ilaplace(F) ans = -5/4+7/2*t+5/4)*exp(-2*t) simplify(ans) ans = 2 Page -5/4+7/2*t*exp(-2*t)+5/4*exp(-2*t) pretty(ans) - 5/4 + 7/2 t exp(-2 t) + 5/4 exp(-2 t) Which corresponds to f(t) ft() =-1.25+3.5te-2 +1.25e-2 Use the symbolic tool in MATLAB to obtain the inverse Laplace for each of the following and graph both...