6. (a) (b) Use integration or partial fractions to find the inverse Laplace transform of the function: 9 F(s)=- s(s²+9) Use the Laplace transform method to solve the IVP: y"+9y=18; y(0) = 0, y'(0) = 3. (Hint: Use (a) to find the solution.)

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Q: 2. (a) Show that gi(t)g2(t) G₁(f) * G₂(f) where denotes convolution and gi(t) = G₁(f), 92(t)=G₂(f).…

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A: We have to use formula for Fourier Transform.

Q: (Exercise 23 on page 225) Find the inverse Laplace transform of the function using the Heaviside…

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Q: Q3. (a) Consider the continuous function f(t)=sin(2xnt). i) What is the period of fſt)? ii) What is…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

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Q: • Let: X₁ (jw) = 2nd(w) + nd(w − 4ñ) + ñ8(w + 4π) • Use the inverse Fourier Transform to find x₁(t)…

A: Introduction: Like other integral transformation, Fourier transformation has also its inverse. In…

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Q: Exercise (2): Find the inverse Laplace transform of the following functions. 59}. (1) L- (2) L-1 (3)…

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