2. Finish solving each IVP by finding y(t), the inverse transform of Y(s). Do not use convolution here. [8] a) "+6y8y = 2, y(0)=-2, y'(0) = 1. Taking Laplace transforms gives 2 2 s2Y(s) + 28 1+6(sY(s)+2)+8Y(s) = = = => Y(s) = + S s(82 +68+8) -11-28 $2 +68+8

Q: 2. Finish solving each IVP by finding y(t), the inverse transform of Y(s). Do not use convolution…

A:

Q: ft) = cos 2t + sin 2t + cosh 2t + sinh 2t 2s? (s+2) А. (s2 +4)(s2 -4) 2s? (s-2) С. (s2 +4)(s2 -4)…

A: We find the Laplace Transform of  f(t)=cos(2t)+sin(2t)+cosh(2t)+sinh(2t).

Q: Q.1) Find the Laplace transform of the following: a) f (1)=3sin2 21 b) f (1)=3 +° c) f (1)=2cos2t…

A: To solve the following problem we will use the standered result of laplase transformation

Q: Q.5A/Find Laplace Transform of the following functions 1.f(t) = 6e-6t + +5t3-9 2./(t) = (42marke)…

A:

Q: Find the Fourier transform of each function. In each case, a is a positive real constant. Answer:…

A:

Q: 29. 29. Find inverse Laplace transform of 1 (a) g2 — 38 + 2 )b( - 1 s3(s+1)

A:

Q: Part II. Find the Inverse Laplace Transform of the following: 10 2. F (s) s2 +4s+4

A:

Q: Chapter 7. Find the La Place Inverse Transform. 48 9-1{1/8 + A) 4t4 + 4 sin(4t) C) 2t4 + 4 sin(2t) 8…

A:

Q: Find Laplace transform of the function f(t) = cos(2t + 3)+e¬'u(t – 4) + tcosh²2t

A: Use the following formulas while calculating the Laplace transform of the given function.…

Q: The inverse transform of * 1 2 4s8s O % e (exp -t) sinh t O % e (exp t) sinh t O 1/4 e (exp -t) cosh…

A: Solution:  Given,  14s2-8s = 14(s2-2s)                             =14(s2-2s+1)-4=14((s-1)2-1) Now,…

Q: 10(2s+5) 6. Find the inverse Laplace transform of I(s) and find s2+3s+2 I(s) when s= 0.1 sec.

A:

Q: Q3// Find the value of sin лz²+ сos лZ² $c dz (z-1)(z-2) Where C is a rectangular with vertices at…

A: As per the question first we have to evaluate a conture integral, then we have to find the laplace…

Q: Which of the following statement(s) are true? Choose only 2 statements. Lütfen bir ya da daha…

A: The solution is given as

Q: Compute the Laplace transform. Your answer should be a function of the variable s L{3+ u(t)e sin(7…

A:

Q: If F(s) = {f(t)} and n = 1, 2, 3, . . . , then L{t^f(t)} = (−1)n d^_F(s). dsn Evaluate the given…

A:

Q: 70. Which of the following. is the inverse Laplace transfor B (B^2-9)/(s^2+9)^2 ? A. cos (3t)+3t…

A: The given expression for the inverse Laplace transform is:The objective is to determine which of the…

Q: Q4. Apply Linearity property of Laplace Transform to find the Laplace Transform of x(t) = 5e-tu(-t)…

A:

Q: 1 Find the Fourier sine and cosine transform of ƒ(x)=

A: Use the Fourier Sine and Cosine transform table to obtain the result.

Q: 1. Find the equation of a line perpendicular to y = 1 through A(-1, 1).

A:

Q: Q1. a) Derive the Laplace transform of 3e4t from first principles (i.e. without using the list of…

A:

Q: F(s) = (5 + 3 s+3e = (F(x بر 3² (3+2) 38 +4 F(s) = 2 + 6s + 13)

A: Given: Fs=s+3e-3ss2s+2 We know, L-11s=1,…

Q: 2. ts) Use the table of Laplace Transforms and 1st shifting theorem to find the Laplace transform of…

A:

Q: Q3/ find the inverse Z transform for the following 8z (2z-1)(4z - 1)

A: In this question the denominator is    (2z-1)(4z-1) =8z2 - 6z + 1   So the question can be done as…

Q: Which of the following is the expression to be ob tained when the Laplace transform is applied to…

A: We are given the differential equation :  2y''-3y'-2y=te2t Applying Laplace transform to both the…

Q: 3. Which of the following is the Laplace transform of sin (2t) - 2tcos (2t) ? A. s^2 / (s^2 + 4) ^2…

A:

Q: y -7y +10y= 9cost+7sint, 5, y =-4 2

A:

Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms L{f(t)} and n = 1, 2, 3, . . . , then If…

A: Please find the answer in next step

Q: x2, Ixl a

A:

Q: 3s+7 B. Find the inverse Laplace transform of F(s) = s(s+1)(s-3)

A: