The first: find using transform i x =rcos(0), y=rsin(0) 00 00 e-(7x²+3y) dxdy

Q: 10. Solve the following IVP using Fourier Transform: -00 0, u(x,0) = e, -0 <r < oo.

A: Given ut=uxx, -∞&lt;x&lt;∞, t&gt;0u(x,0)=e-x2, -∞&lt;x&lt;∞

Q: d 3x 3 ) y = = e dx

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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: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]?

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Q: 3) x(t) te-at 1 4) x(s) = (Sta)2

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Q: Use Laplace transform technique to solve , y"-y'-6y= 0, Given y(0) = 1 and y'(0) = -1

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Q: Use the laplace transform to solve 3x'-y=2r;x'+y'-y=0; x(0)=y(0)=0

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Q: t3 - 3t2 + 5t – 8

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Q: Q5/Find the Laplace Transform -3 4- f(t) = V2t E) = va Where r %3D

A: To find the Laplace transform of given function.

Q: Solve for the laplace transform x(t) = (t+3) sin(t-6)

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Q: Solve the ODE using the Laplace Transform method: x" + 4x = 1+t; x(0) = 0, x'(0) = 2

A:

Q: 8. Express the given function using unit step functions and compute its Laplace transform y sin t N…

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Q: f(t) = 2t + 5et – sin 5t -

A: Given:  ft=2t3+5e4t-sin 5t To Find: The Laplace transform

Q: NEED ASAP!! By using laplace transform to solve y’-y=cosht with y(0)=0, what would be the particular…

A: First we will take the Laplace transform of both sides then we will use the initial condition y(0) =…

Q: Use Laplace transform technique to solve, y"+2y'+2y = e given y(0) = -2 and y'(0) = -1

A: According to our guides, we are allowed to answer the first question only. Kindly re post the second…

Q: x(t)=sin(t-3T)

A: Z transform

Q: 2. t5/2 sinh 4t

A:

Q: Solve the laplace transform 3x-6x= Sin 2t %3D given when t=0

A: Use the laplace transformation table and derivative formula

Q: Find the fourier sine transform of a) f(x) = exp(-ar) and deduce sin(sz) -ds = 2+a² -az b) f(x)= re'…

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: Q7. Use Laplace transform to solve the ODE. x"-3x' + 2x = sin2t, x'(0) = x(0) = 0

A: The given differential equation isx''-3x'+2x=sin2t, x'(0)=x(0)=0

Q: Find the Laplace transform of sinh3 4t

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Q: π L1 2. z(4 +s),

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Q: f(x)= == ¹xcl! Obtain the Fourier transform of

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Q: Find the Laplace transform of f (x) = 4 sin x + 6 cos 2x

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Q: f(x) = S^ sinh 2tdt

A:

Q: (c) Skctch x(t) = rect(2t)and solve for X(W). (d) Determine the Fourier Transform for x(t) in Figure…

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Q: Find the taplace transform sinzt. b. ĕ Cars6t-5.sin -2t e 2.

A: As per answering guideline, only one question can be answered at a time. Thank you for your support.

Q: Find the Fourier Sine Transform of the function 0026.png ,2.x 2 S(x)=| + be3x if x>0 6.x e if b = 5.…

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Q: 2. t5/2 sinh 4t

A: The solution is given as

Q: orm y(t) = 4e-2cos

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Q: /Find the Laplace Transform 2- f(t) = 5 sin 2t – 3 cos 2t

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Q: Q2:Find the inverse Laplace transform of e-2s F (s) s2 – 2s – 3 - -

A: We have to find the inverse Laplace transform of given function.

Q: Find the inverse Laplace transform of 7s (3s²+75)²

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Q: 2T (-1Y- Find f(x) if its finite sine transform is given by f, (p) = where 0<x < T. -, p = 1, 2, 3,…

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Q: * - 10x + 9x = 5t, x(0) = -1, x(0) = 2

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Q: Find the Laplace transform of sin 21, 0<t < 2n S(): 0, 12 2n

A: we have given the function f(t) = sin2t,  0≤t≤2π   0,          t≥2π we have to find the Laplace…

Q: f(t) = 2Ct -4)

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Q: (a) By making appropriate use of Jordan's lemma, find the Fourier transform of T³ f(x) = (x² + 1)²*

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Q: L cos2 t - t - and using the appropriate Laplace transform define 20. For (t) =

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Q: I find the Laplaa Transform ) f4): e" (3t*+ 1) - 5 sin at 5 sin 3t

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Q: 2. Find L{e3t cos 2t} using property of Laplace transform

A: We’ll answer the first question (Question number 2) since the exact one wasn’t specified. Please…

Q: Find the Fourier Cosine Transform of the function hel 0026.png e2x + be3* f(x)= 2 +be 3.x e6.x if…

A: To find- Find the Fourier Cosine Transform of the function fx = e2x + be3xe6x2 if x &gt; 0 if b =…

Q: L(sin 2t cos 2t)

A:

Q: +5s, The inverse Laplace transform of is 1 1 5 5 f(t) = S sin 5t - sin

A: It is required to find inverse Laplace transform of L-11s3+5s. That is, L-11s3+5s=L-11ss2+5 Here…

Q: a) Use the method of Laplace transform to solve dx 10, dt given that x(0) = 4.

A: Since both the questions are different. So as per our guidelines, we are supposed to solve only…

Q: Find the transform of the given functions by use of the table. f(t)= cos 3t-sin 3t

A: Lcos3t-sin3t=Lcos3t-Lsin3tUse Laplace Transform table:          Lcosat=ss2+a2,…

Q: Find the inverse Laplace Transform 2s3 – 9s² + 23s – 10 F (s) = (s² – 4s + 8)²

A: We know that  ℒ-1Fs  is such a function f(t) that  ℒft=Fs. We are given that…

Q: 2e3t – 3e3t

A:

Q: Solve for the laplace transform using the formula. 9. F(t) = e-2t-

A: