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Assignment

Q.1 Find the Laplace transforms of the following functions:

(a) t2 + at + b and (b) sin(2nΠt/T)

Q.2 Find f (t) for the following F(s) = α[ f (t)].

(i) 5/(s + 3), (ii) 1/s2 + 25, (iii) 1/s(s+1)

Q.3 Find the Laplace transform of the following functions.

(i) teat, (ii) cos23t

Q.4 Show that α[t cosωt] = s22/(s2 + ω2)2

(a) Find the Laplace transform of eat sin ωt.

Find the Laplace transform of the following:

(i) etsin t, (ii) e-tsin(ωt + θ) , (iii) 2t3e-t/2.

Q.5 Find f (t) for the following

F (s) = α[ f (t)].

(i) Π/(s + Π )2, (ii) s - 2/(s2 - 4s + 5), (iii) s/(s + 3)2 + 1

Find the Laplace transform of cosh at cos at

Q.6 Using Matlab and Laplace transform, find the solution of the following differential equation:

5y' + 2 y = sin t

MATLAB, Engineering

• Category:- MATLAB
• Reference No.:- M93124929
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