MATLAB8 - MATLAB#8 The Laplace Transform Jillian Peacock...

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Unformatted text preview: MATLAB #8: The Laplace Transform Jillian Peacock A06402794 30 November 2006 Math 20D Professor Stevens Section B01 MATLAB #8: Exercise 8.1: a. >> Y = laplace(1,t,s) Y = 1/s >> Y = laplace(((cos (t))^2),t,s) Y = 2/s/(s^2+4)*(1+1/2*s^2) b. c. >> Y = laplace(((sin (t))^2),t,s) Y = 2/s/(s^2+4) d. y = ilaplace((5/(9+s^2)),s,t) y = 5/3*sin(3*t) Exercise 8.2: a. >> f='Heaviside(t)' f = Heaviside(t) >> ezplot(f,[-5,5])-5-4-3-2-1 1 2 3 4 5 0.2 0.4 0.6 0.8 1 t Heaviside(t) b. >> f='Heaviside(t+3)' f = Heaviside(t+3) >> ezplot(f,[-5,5])-5-4-3-2-1 1 2 3 4 5 0.2 0.4 0.6 0.8 1 t Heaviside(t+3) At the value t=-3 the graph jumps from 0 to 1. c. >> f='Heaviside(t-1)' f = Heaviside(t-1) >> ezplot(f,[-5,5])-5-4-3-2-1 1 2 3 4 5 0.2 0.4 0.6 0.8 1 t Heaviside(t-1) Exercise 8.3: a. >> h = 'Heaviside(t+1)-Heaviside(t-2)' h = Heaviside(t+1)-Heaviside(t-2) >> ezplot(h,[-3,3,-0.5,1.5])-3-2-1 1 2 3-0.5 0.5 1 1.5 t Heaviside(t+1)-Heaviside(t-2) b. >> g=('+Heaviside(t+1)-Heaviside(t)+Heaviside(t-1)-Heaviside(t-2)')...
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MATLAB8 - MATLAB#8 The Laplace Transform Jillian Peacock...

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