The Laplace transform of L(sin 5t sin 3t) is 1 2 s2 + 22 g2 + 82 2 s2 + 22 s+ 82 2 g2 – 22 s2 + 82 s2 + 22 s2 + 82 The integrating factor of Linear differential equations dy + 6x + xy = 5 + 6x is_ da O 11 e 2

Q: Q"+4Q'+4Q=2t Solve with Laplace transform

A: Using laplace transform to solve the problem.

Q: What is the Laplace transform of sint cost? 1 OF +4 O O O 1 s+2 1 2t+2 1 2s+4

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Q: Compute the Fourier Transform of f(x) = e-ax-

A: Fourier transform of a function fx is defined as  Ffx=∫-∞∞fxeisx dx Gamma function =∫0∞e-x xn-1 dx

Q: Q2/ find Fourier transfam 29

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Q: Find the Fourier transform F(e-az) of f(x) = e-a if x > 0 and f(x) = 0 if x 0.

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Q: Q1\ Find the Z-transform of A) cosh 2

A: The given question can be solved as shown in step2.

Q: Find the Laplace transform of f(t) = te *sin(2t). 4s + a Then you obtain F(s) = Please type in a =…

A: Given that ft=te−tsin2t We have to Laplace transform of ft=te−tsin2t that we have to find Lte−tsin2t…

Q: use LaPlace transforms find solutions for dx/dt+3x=e^-2t, given that t=0 and x=2.

A: The objective of this question is to solve the given differential equation dx/dt + 3x = e^-2t using…

Q: Find the Fourier Transformation of II (t-) Select one: O l sinc(f) O ef sinc(2f) O jrf sinc(f) 3jef…

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Q: 2s + 16 s² + 4s + 13

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Q: Find the complex fourier Intergral Representationn of 0, x 0

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Q: Show that d(w) - = [6(w− 1) + 6(w+1)] is the Fourier transform of cos(t). Show that d(w) = −ix[8(w −…

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Q: What is the inverse Laplace transform of 2/(s-3)^2 + 2^2? (ILO2) 2 (s - 3)² +2² O Option 1 O Option…

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Q: z'+3z Find the inverse Z- transform of (z-1)°(z² +1)

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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: Solve equation using Laplace transform ÿ +9y = 6 (t -) sin(t), y(0) = 0, y(0) = 0 %3D

A: Given the given equation is y"+9y=δt-π6sint,     y0=0,  y'0=0 Use the property of delta function.…

Q: Ⓒ Last + 3 sin4t4 3 2 h + ²³ - t ² + 5 + ² 2 4t -3t - 13 & 13ett - 5e³t}

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Q: dt? + w?) G(t) = 6(t) () 1. Now using the Fourier transformation on both sides of equation 1 and…

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Q: Q5/Determine the Laplace inverse transforms of 3s+s+12s +2 (s -3)(s+1)

A: Please see the explanation below

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: 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: Yk+2 + 2yk+1 + Yk = k, k≥ 0, yo = y₁ = 0

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Q: Determine the inverse Z-transform of X(z) Select one: akt xk = = (-2j) sin( 2 (2a)k-1 sin (47) 2 xk…

A: Inverse Z transform of the function

Q: Determine the Laplace transform o sin (8t + 붕). +64 -a +(a) #() +64 +64 O 43 #() 2+64 O 4v3 7+64…

A: We need to find Laplace transform of sin8t+116π Here we will us the following formulas-…

Q: -21 e * u(t) + e ª u(1)

A: The given function is    e-tut+e-2tut Let xt=e-tut and x1t= e-2tut

Q: Determine the Fourier transform of the function f(t) = e-cltl.

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Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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Q: Exercise 1 Find the fourier series for the function. a) f(x) = { * if 0 <r< T 27 – if n <a < 27 and…

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Q: Ans : Z 5) uck)

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Q: What is the Fourier transform of 8(x) dx F(k) = 100 = 2T -ikx 8(x) =?

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

Q: oくくく 1.

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Q: sx 14-X Find the Fourier transform of function f(x) = , 0<x< 14 14 < X <16

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