* Find the Laplace transform -5 -21 sint f(t) = te' -21 s + 2 2s + 4 (s² + 4s + 5)- (s² + 4s + 5)? 0 خيار 3 خيار 4 S 2s + 4 s¯ + 1 s´ + 2S + 1 0 خيار 2 0 خيار 1

Q: Use the Laplace transform to solve the initial value problem y'" + y' – 2y = 2e*, y(0) - - 1, y'(0)…

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Q: (s) = (1-3s) / (s^2+8s+21) A [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] + [3*cos(sqrt(5)t)*e^ B…

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Q: Let A be an m x n matrix, and let B and C have sizes for which the indicated sums and products are…

A: If the product AB is defined, the entry in row i and column j of AB is the sum of the products of…

Q: Find the Laplace transform of 6e'cos2t - e 6(8– 5) (8 - 5)2+4 8-7 6s В (8 – 5) 2+4 S- 7 s2+4 s-7 (s…

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Q: 2e 5(s+1) (a) Determine I |(s+4)' ` s² +2s +5 3.

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: бу"" + 5у" + у'%3D0 У (0) %3D — 2, у' (0)%3 2, у" (0) 3D 0

A: We have 6y'''+5y''+y'=0 with initial conditions y0=-2, y'0=2, y''0=0 Now, apply Laplace transform on…

Q: Prdlem 6.36 Pert B)

A: It is double Integral

Q: The Laplace transform of L2 sin 6t sin 3t] is S - s + (3)² s2 + (9)2 S 2s + (9)* s2 + (9)² s² + (3)²…

A: Solution by using trigonometric identities and Laplace transform table as follows :

Q: Find the inverse laplace transform of the followings; a)  X(s)=(s+2)/(s^2+2s+5)…

A: a) Xs=s+2s2+2s+5 Apply Laplace Inverse transform…

Q: The Z-Transform of X(z) =5 (2^n)(u-2) is 5z/(z-2) True False

A: We're going to solve

Q: an initial investment of 1500 thousand dol ollars at the end of each of the next two qua The…

A: Given: Initial Investment=$1500000 Further investment=$250000 (Quarterly) Operating cost=$120000…

Q: x^2y′′ + (3/2xy′ + [(1/36)x^2/3 − 7/144]y = 0 z = (1/2)x^1/3, w = yx^1/4 Solve it using the…

A: The transform method can be used to find the solution to the differential equation x^2y′′ + (3/2xy′…

Q: 2. f(t) = -7(e^3t)[sinh(2t)] A. -14 / (s^2 – 6s + 5) B. (-7s + 21) / (s^2 – 6s + 5) C. -14 / (s^2 -…

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Q: Solve the equation (2x + 6) (2y² + 3) dx + 4y(x² + 3x + 2) dy = 0

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Q: 8 3 Find the Inverse Laplace Transform of- + 3s2+ 12 s2– 49 3 4 A) - sin2t + -cosh ( 7t) 7 3 4 –…

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Q: 2) x = -3X,+ X2 ~12t X = - 4x+ 2X, + (2t X6)=o,メ2(o) =6 Xz(0) =6 こ0)

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Q: I don't understand why the four transform F{(a/sqrt(pi))*e^-a^2*x^2)}=e^-alpha^2/4a^2. Can you…

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Q: Transform * y = 3sinh (3t) 3 s² +9 3 s² - 9 OA) O B) Transform * s² + 1 S³ + s OA) OB) 1 - sint 9 s²…

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Q: t+2 1. La transformada de Laplace de la función (2t – 3)e 3 es igual a: a) e 2 2 3 21 S-- 3, 2 2 3…

A: Given that  (2t-3)e^(t+2)/3 To find the Laplace transformation of given function

Q: Obtain the inverse Fourier transform of sen(4(w+2)) (w+2)(3-((w+2)) F(w) =

A: The given function is Simplify the expressions using partial fractionsMultiply both sides of the…

Q: What is the inverse Laplace transform of 4s/(s^2+16) - 36/(s^2+16)? 4s 36 s²+16 s²+16 4cos(4t) -…

A: Here we have to find the inverse Laplace transform of  4ss2+16-36s2+16

Q: -at² - 2 @ Show: Sē jeate dt - 17€ е = a 2 -at 1 Find the Fourier Transform of f(t) = ē

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Q: Q4.) F(s) L' = 45+93 252+85+40 } 45+9 252 = = 2 = +85+40 =2 2 L" { -1 L+ تو 2/2-1 -2t ? (pat し S+…

A: Here we use the sum and product by scale of Laplace transformation.

Q: Use the Superposition Principle to solve the ODEy′′ − y = x^2 + sin x

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Q: What is the Laplace transform of x (t) = e^- t cosπt ? Select one:

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Q: Given that the Fourier transform of e- πt^2 is e- πs what is the Fourier transform of the following…

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Q: Q6) (a) Prove that Fourier cosine transform of f(x) = cos(x), 1 sin 3(p-1), sin 3(p+1) p-1 p+1 +…

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Q: у"" + Зу" + Зу' %3D у У(0) 3D 7, у' (0) — -7, у" (0) — 11

A: We have to apply the Laplace transform method.

Q: find z- -4 * transform for x (n) = { 2 1 2 3} x(2) = 22 + z' + 2 + 3z x(2) = 2 + z+ 2-2+ 3z %3D خيار…

A: Let's find.

Q: Find the Laplace transform of (e^ (2t)) sinh (4t) (-s^3 + 11s 2 1. (e^ (3t)) cos (5t). A. 56s + 196)…

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Q: Give the Inverse Laplace Transform of s/((s+2)(s^2+4)). * O -1 + (e^(2t))cos(3t) O t+ (9/4)e^(-2t) -…

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Q: The inverse Laplace transform of F(s) = = -98 e 8² +18 2 is

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