3. 4. 5. t2 sin 3t-3t cos 3t 2 sinh 6t-4t cosh 6t 1²e-2t sin 8t

Q: y Ct) = 5e - 2t Cos 67 fCt) = 3c 4t C1- 3t + 2t 2) -4t (1- 3t + 2t²)

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Q: (b) L-¹{12} 8²-68+12}

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Q: x(t) =

A: To find the Fourier transformation of xt=u3t+2e-j2t

Q: g(t) = 10rect [²(t+³)] ej²¹ 5 ej²nfot j2πfot

A: What is Fourier Transformation: A Fourier transform (FT) is a mathematical transformation that…

Q: 216 X(s) = s4+5s3+15s2+45s+54 2s-9 Y(s): s(s2+10s+146)

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Q: 8. y" +9y = 20e y(0); y' ||

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Q: t2 sin 3t – 3t cos 3t

A: Given :    t2sin3t-3tcos3t

Q: Dear tutor, please help me in  inverse laplace transformation using only this table- formula  below,…

A: e) Given to find L-15s-42s2-3 Formulas using here L-1ss2-w2=coshwtL-1ws2-w2=sinhwt

Q: 1. 2 (t+2 cos 2t)²-2 cos²2t 2 sint (e²t + 4e¯¹ + sin t)

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Q: f(d) = e-2d d4

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Q: Let A = -127 0 -8 4 0 and 6- = 36 7 Define the linear transformation T: R2 → R³ by T(x) = Ar. Find a…

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Q: MATH B. day A d. Translate three units down and two units to the left b. Reflect across the y-axis…

A: B(4, 6),   E(6, 7),   A(5, 5),  R(3, 4) Three units down means a decrease of 3 units in the…

Q: co sh?Ł

A: As we know,    cosht = exp(t)+exp(-t)2                  and               Laplace transform of ept =…

Q: 1. f(t) = (2e-4t + sin t)²

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2ct-3) cos Cも-3) yct) = sin 2t cos 3t

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Q: 3s+10 W (s) = s(s-8)(s-6)²

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Q: Problems For Problems 1-14, determine whether the given set S of vectors is closed under addition…

A: Here , S=Q, set of all rational numbers. We check whether the set Q is closed under addition i.e. we…

Q: 4. Solve the initial value problem: y" + 3y' – 10y = 0, y(0) = 1, y'(0) = 0 -

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Q: Question 1.i.) A truncated sine wave { sin5x, -T <x <T y = f(x) = 0, otherwise

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Q: Obtain the F(s) of the following f(t) 1. f(t) = } (-1 0st<1 ={'1 t21

A: we have given the function f(t)=-1  , 0≤t&lt;1  1  ,    t≥1 we have to find the Laplace…

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

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Q: 4 Jxdx = 1

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Q: y! ty =e*t which catis fies the conditions y (0 %3D

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Q: (1-1z1, 1리1

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Q: Lft etc ezt coth 3t dt 2t 8

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Q: L[(t-)fu(t-4) +(tr)sinh(t-)]

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Q: Solve the initial-value problem y" + 4y" + 5y' + 2y = 10 cos t, y(0) 0, y'(0) = 0, y"(0) = 3.

A: SOLUTION-

Q: 4. 5. 2 sinh 6t4t cosh 6t t²e-2t sin 8t

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Q: Solve the Fourier Transform of the function using the different Fourier Transform properties and…

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Q: 1. (t + 2 cos 2t)² – 2 cos²2t

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Q: TF [f (t)] denotes the Fourier transform of a function (f).

A: In this question we use the properties and definition of fourier transformation to check the given…

Q: 1. 2 (t+2 cos 2t)²-2 cos²2t 2 sint (e²t+4e¹ + sin t)

A: Note: Here multiple questions are asked. But as per the Bartleby guidelines, only the first question…

Q: 5. Find the Fourier transform of of 6e-lt.

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Q: Solve all the Laplace transform in the image attach

A: Laplace transferom of the pice wise function, and Laplace transferom of divisibility by t theorem