(c) Skctch x(t) = rect(2t)and solve for X(W). (d) Determine the Fourier Transform for x(t) in Figure 4(d) using integral.

Q: Find the finite cosine transform of 1 – where 0<x< T.

A:

Q: у" — Зу' + 2у %3D2е3t y(0) 3D 0 у'(0) — 4 |-

A: Given differential equation is  y''-3y'+2y=2e3t given condition is  y(0)=0 ,y'(0)=4

Q: 2b. Determine the solution of the following problem using the concept of derivative and integral…

A: The given problem is to find the Laplace transform of the given integral term function.

Q: Solve the problem: y "- 4y=excosx ,   y (0) = 1, y '(0) = 2 a) without using Laplace transform; b)…

A: Consider the given information. (a) Use the undetermined coefficient to solve the equation. Write…

Q: dy = et. dt Find the solution when y(0)=2 using the method of Laplace transform

A:

Q: Solve x"(t)+3x'(t)+2x(t) = u(t - 2), with x(0)-0 and x'(0)-0 using the method of Laplace transform.…

A:

Q: Use Laplace Transform to solve the initial value problem y' - 2y +2y=cos t y(0) = 0; y'(0)=1 %3D

A:

Q: Solve the equation dy y ху-з dx II +

A: The given equation is of the bernoulli's equation form.

Q: a) Solve the initial value problem using Laplace transform I UTM UTM 26 sin 3t, y(0) = 3. UTM

A:

Q: dx 4x = 2e2t + e4 dt

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use laplace transform to solve the initial value problem; a) y''+9y=cos3t,y(0)=2, y'(0)=5.

A: We shall use Laplace and inverse Laplace transform to solve this

Q: Find the Laplace transform of: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]?

A:

Q: So (sinh (-2t)e¯') u(t)

A: We shall find the Laplace transform of∫0tsinh-2te-tutdt that is L∫0tsinh-2te-tutdt First Shifting…

Q: Find the Z transform of [cos (ax), x20 f(x)=: 0, x<0

A: Given, fx=cosax,x≥00,x&lt;0 As we know that, Ze-ax=1+e-aτ+e-2τz-2+...=11-e-aτz-1=zz-e-aτ

Q: Q4\ Use Laplace transform to solve differential equation in figure below: dx + 3x = e dt -2t subject…

A:

Q: 4. Solve for Laplace transform of f(t) = t^5 using long method

A: This question is based on Laplace transform formula.

Q: O fe) = e* cos 2t -t * + Gn 状 - as )

A:

Q: Use the Laplace transform to solve the initial value problem. x' + 2y' - y = 1; 2x' +y = 0; x(0) =…

A:

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: Given that x(0)=0, apply the laplace transform to find a general solution of tx''-(4t+1)x'+(4t+2)x=0

A:

Q: 04 Obtain the particular solution for: 2y" +2y= 2 sinx y(0)=0, y'(0)=1 (a) By using Laplace…

A: The solution is given below in the next step:

Q: 5. Use Laplace transform technique to solve , y"-y'-6y = 0, Given y(0) =1 and y'(0) = -1

A:

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

A: Z transform

Q: 3. Use a Fourier transform to solve the equation d'y - y? = 0 dx2 with initial conditions y(0) = yo…

A: Given: d2ydx2-y2=0 To find: Solve the equation by using Fourier transform.

Q: . Determine the Laplace transform of the differential equation 3y" – y' = et5 - 9y" + 4y

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: Use Laplace transform to solve differential equation in figure below: * dx + 3x = e dt -2t subject…

A:

Q: Use the Fourier transform method to solve du k at ax2-Yu, -o∞ 0 u(x, 0) = f(x).

A:

Q: Solve X'= %3D 1 2. 人 2. Given use %3D -2-2 Laplace TransForm OF A to Compute At.

A:

Q: Q4 Obtain the particular solution for: 2y" +2y=2sinx y(0)=0, y'(0)=1 (a) By using Laplace transform…

A:

Q: Find the Fourier transform for S(2)%3D sin a, 2 0.

A:

Q: Find the Laplace transform of sinh3 4t

A:

Q: y Ct) = 5€ - 2t Cos 6t

A: Use the following 1.L{cos at}=ss2+a22.If L{f(t)}=F(s)Then L{eatf(t)}=F(s-a)

Q: Use Laplace Transforms to solve the initial value problem. x"+x = sin2t; x(0)=0=x'(0)

A: Solution of Intial value problem using Laplace transferom

Q: Use Laplace transform technique to solve y" + 2y +2y= e¬, Y(0) = - 4, y'(0) = - 2

A: Laplace transform

Q: -2 20(x+2y?

A:

Q: 25. а. Apply Fourier transform to solve: ди for 0 < x, t 20 Under the conditions,

A: Given,              ∂u∂t=∂2u∂x2,  for  0≤x, t≥0           (1)Under the conditions,…

Q: Solve the Laplace transform of: 3 cos 8t + 2 sin 8t

A:

Q: Б) у —у +Зу — 5у%3D—-бе-t У () %3 1, у (0) %3D2, у' (0) %3D— 4

A:

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: Use Laplace Transform technique to solve the initial value problem y' + 2y = 26 sin 3t , if y(0) = 3

A:

Q: By using Laplace transform to solve y + y = sinht with y (0) = -1, what would the particular…

A:

Q: Use Laplace Transform to solve the differential equation: d'y di+4y 1- Subject to y = -2 and =1…

A:

Q: Solve the problem: y" - 6y' +8y=sin t, y(0)=y'(0) = 0 a) without using Laplace transform: b)…

A:

Q: Show that (a) L-1 = sin(at) - tcos(at) %3D (s²+a²)²) (where L indicates imverse Laplace transform)…

A: L-11s2+a22=12a2sin(at)-12a2tcos(at)

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: Find the Laplace transform of e-2t(sinh(2t))2.

A:

Q: 7) Use the Laplace transform method to solve the Volterra integral equation: u (x ) = 1-x - (x –t )u…

A:

Q: 4. Use Laplace transform technique to solve, y"+2y'+y=4e given y(0) = 2 and y'(0) = -1

A: We have to find general solution of given differential equation using Laplace transform Method.

Q: Solve the initial value problem using Laplace Transform Method y' + 9y = 0      ; y(0) = 2

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.