Solve this problem with Laplace transformation:

Q: Find the Laplace Transformation of: y'' + 4y' + 3y = 4e-4x when y(0) = 4, y'(0) = 0

A: The solution is option 3 Y(s)=4s2+32s+68s3+8s2+19s+12

Q: Laplace transforms

A:

Q: find the inverse laplace transform

A:

Q: Sketch f(t) and find the Laplace Transformation of the following functions

A: The function in which its output repeats after regular intervals of the input is called the period…

Q: Find the Laplace Transform

A: Topic:- application of integration

Q: find the laplace transform

A: The given function is: e3t+1sin 4tWe need to find the laplace transform of the function:Le3t+1sin 4t

Q: L{5t? + 12t + 25}

A:

Q: Give a counterexample to show that the given transformation is not a linear transformation.

A: To show this T xy=|x||y| is not linear transformation by counter example.

Q: Use the Laplace transformation to solve the problem: x >0, t>0 %3D 2

A: In this question, we have to solve the Laplace equation by using Laplace transformation. the wave…

Q: f (t) = t5 e(1-t)

A:

Q: L{e2"sin2t + etcos3t}

A:

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: Solve the given by using the Laplace transformation.   L[7t^4 + 4 cosh(2t) + 5e^3t + 2 sin(4t) ]

A:

Q: y" + 2y' + y = te),y(0) = 1,y'(0) = -2|

A: Formula Used: L{y''}=s2Y(s)-sy(0)-y'(0)L{y'}=sY(s)-y(0)L{tneat}=n!(s-a)n+1

Q: Find the Laplace transform of 6t - 5te+5. L{6t- 5te ¯' + 5} = %3D

A:

Q: Find the Laplace transform of 3e-7t.

A:

Q: . Write the Laplace Transforms

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the Laplace transform of f(x) = 5x2 + 4x + 3 %3D

A:

Q: Find the Laplace transform of equation.

A:

Q: Find the Laplace transform

A:

Q: Evaluate the Inverse Laplace transformation of the following functions

A:

Q: Find the Laplace transformation of coskt+t3/2+t/2

A: laplace transform of coskt + t3/2 + t1/2 = s/(k2 +s2 ) + 3π/4s5/2 + π/4s3/2  transform of function…

Q: By using the Laplace transformation, solve the equation y"-3y-28y+3e-3t, y(0)=0 and y'(0)=1

A: Given - The equation y'' - 3y - 28y + 3e-3t = 0 , y0 = 0 , y'0 = 1 To find - By using the Laplace…

Q: (4 + cosht) 2.

A:

Q: Solve for the inverse laplace transform of the following using shifting theorem.

A: NOTE: Refresh your page if you can't see any equations. . use the inverse Laplace rule

Q: Discuss Is there a solution or not (why) of Laplace Transformation of

A: The Laplace transform of the function f(t) is defined by the integral:

Q: Find the Inverse Laplace Transform.

A: The given function is Fs=10s-48s-53. Let 10s-48s-53=As-5+Bs-52+Cs-53. Remove the fraction and obtain…

Q: Find the inverse laplace transform

A:

Q: FIND THE INVERSE LAPLACE TRANSFORM

A:

Q: Using the laplace transformation formula, ∫ f(t) e^−st dt evaluate L[15-3t]

A: The given laplace transform,  L15-3t

Q: Ucs]: ucv) if the given Ucs) =

A:

Q: L{(1+te*)³}

A:

Q: Use the Laplace transformation to solve the problem: ou ou x >0, t >0

A: In this question, we use Laplace transform to solve the wave equation as uxx=uttwithI.C: u(x,0)=0…

Q: Use Laplace transformations to solve the IVP у" - у%3D0 У (0) %3D 2 у'(0) 3 3 Show the complete…

A: Given:         y''-y=0           y0=2           y'0=3     Using Laplace transform       Lyt=Ys…

Q: give a counterexample to show that the given transformation is not a linear transformation.

A: Given,  The transformation

Q: Find the inverse laplace of: 3/(s3+9s)

A: Ans: 1/3(1-cos(3t))

Q: L[(2ピ-tt)u(t+>]

A: TO DO

Q: 1 (² 1

A:

Q: f(t) = e-5t

A:

Q: Use Laplace transformations to solve the IVP y" – y = 0 y(0) = 2 y'(0) = 3 Show the complete…

A: Given differential equation is y"-y=0

Q: we are asked to solve using laplace transformation, the given is y'''+3y''+3y'+y=30x^2e^x

A:

Q: Calculate the Laplace and Inverse Laplace transformations given below. 3 c) L s2 + 4s + 13

A:

Q: 3t

A: We have to find the Laplace transform.

Q: Use Laplace transformation to solve the DE y" – 5x = 1, y(0) = y' = 0.

A: We will find out the required solution.

Q: Sketch the function and write in terms of unit step function. Hence find the Laplace Transformation

A:

Q: Find the inverse Laplace of (4/s-3)

A: Given :    F(s) = 4s-3 To find :  Inverse Laplace transform of  F(s).

Q: Find the laplace transform

A: To find the Laplace transform of:

Q: Find the Laplace transform of t + 2t -4

A:

Q: Use Laplace transformation to solve the DE y" – x = 1, y(0) = y' = 0.

A: To solve the initial value problem of second order differential equation using Laplace…