Write the following inverse Laplace transforms as convolutions (You do not need p evaluate the integral): (a) L-1 1 (c) L-1 |(s² – 2s + 2)(s² + 2s+2) (b) L-1 (d) C- (s² + 4)(s² + 1)

Q: Sketch the graph of the parametric equations x = sint, y = 2 cos(3t), π ≤ t ≤ 27. Clearly label the…

A: We are to sketch the graph of the parametric equationsx = sint, y = 2 cos(3t), π < t < 2π.…

Q: Find the inverse Laplace transform of: 1 1+2s (a) (b) s+7 - 2 s+4 (c) (d) s' +6s +10 s' + 2s +5

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Q: L[2t2 + 5 – 3 cos nt), t > 0

A: We use the Linearity property and table of Laplace transform to find the answer of the given…

Q: The Fourier transform of some function f(x) is A(k) 1+46,6, where a is some real number whose…

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Q: x b

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Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 6s+…

A: In this question we will find the inverse Laplace transformation.

Q: 2. Calculate the inverse Laplace transform: 2s (a) C- C-¹ { 25+32 }; (b) C-¹ ( 25-3₂} 2s L-1

A: We have to find the Laplace inverse transformation of and

Q: Use the table of Laplace transforms to find the inverse Laplace transform of 8 6 F(s) s + 3 g2 + 5?…

A: Using inverse laplace of F(s) we have to find f(t)

Q: 3906250000 G(s) s2+6250s+3906250000

A: This is a problem of Laplace transform.

Q: 3s+5 F(s) s2-6s+25

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Q: H(s) = 1 s³ +bs² (use integral rule)

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Q: s²+6 (s²+1) (s²+4) Find the inverse laplace transform of using convolution theorem.

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