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Applications of laplace transform in engineering?

Anonymous

∙ 15y ago

Updated: 4/28/2022

Laplace transforms to reduce a differential equation to an algebra problem. Engineers often must solve difficult differential equations and this is one nice way of doing it.

Wiki User

∙ 15y ago

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Applications of laplace transform?

hahaha wula ata

Does every continious function has laplace transform?

There are continuous functions, for example f(t) = e^{t^2}, for which the integral defining the Laplace transform does not converge for any value of the Laplace variable s. So you could say that this continuous function does not have a Laplace transform.

How Laplace Transform is used solve transient functions in circuit analysis?

f(t)dt and when f(t)=1=1/s or f(t)=k=k/s. finaly can be solve:Laplace transform t domain and s domain L.

What are the engineering applications of vector calculus?

in which field vector calculus is applied deeply

Using laplace transform find function y given 2nd derivative of y plus y equals 0 with both initial conditions equal to 0?

Solve y''+y=0 using Laplace. Umm y=0, 0''+0=0, 0.o Oh well here it is. First you take the Laplace of each term, so . . . L(y'')+L(y)=L(0) Using your Laplace table you know the Laplace of all these terms s2L(y)-sy(0)-y'(0) + L(y) = 0 Since both initial conditions are 0 this simplifies to. . . s2L(y) + L(y) = 0 You can factor out the L(y) and solve for it. L(y) = 0/(s2+1) L(y) = 0 Now take the inverse Laplace of both sides and solve for y. L-1(L(y)) = L-1(0) y = 0

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Ten page project on applications of laplace transforms in various engineering fields?

What are the uses of laplace transforms in engineering fields, good luck :) laplace transforms are so boring i dont have a clue what they do.

Applications of laplace transform?

hahaha wula ata

The Laplace transform of sin3t?

find Laplace transform? f(t)=sin3t

What are the limitations of laplace transform?

Laplace will only generate an exact answer if initial conditions are provided

What is the difference between Fourier transform and Laplace transform and z transform?

Fourier transform and Laplace transform are similar. Laplace transforms map a function to a new function on the complex plane, while Fourier maps a function to a new function on the real line. You can view Fourier as the Laplace transform on the circle, that is |z|=1. z transform is the discrete version of Laplace transform.

What is relation between laplace transform and fourier transform?

The Laplace transform is related to the Fourier transform, but whereas the Fourier transform expresses a function or signal as a series of modes ofvibration (frequencies), the Laplace transform resolves a function into its moments. Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.

What is the laplace transform of log function?

The Laplace transform is a widely used integral transform in mathematics with many applications in physics and engineering. It is a linear operator of a function f(t) with a real argument t (t ≥ 0) that transforms f(t) to a function F(s) with complex argument s, given by the integral F(s) = \int_0^\infty f(t) e^{-st}\,dt.

What is the difference between the fourier laplace transform?

They are similar. In many problems, both methods can be used. You can view Fourier transform is the Laplace transform on the circle, that is |z|=1. When you do Fourier transform, you don't need to worry about the convergence region. However, you need to find the convergence region for each Laplace transform. The discrete version of Fourier transform is discrete Fourier transform, and the discrete version of Laplace transform is Z-transform.

Applications of laplace transform in computer science?

We are using integrated circuits inside the CPU. Laplace Transformations helps to find out the current and some criteria for the analysing the circuits... So, in computer field Laplace tranformations plays vital role...

What is the Laplace transform and how is it used to analyze linear time-invariant systems?

The Laplace transform is a mathematical tool used to analyze linear time-invariant systems in engineering and physics. It converts a function of time into a function of a complex variable, making it easier to analyze the system's behavior. By applying the Laplace transform, engineers can study the system's response to different inputs and understand its stability and dynamics.

What kind of response is given by laplace transform analysis?

The type of response given by Laplace transform analysis is the frequency response.

Does every continious function has laplace transform?

There are continuous functions, for example f(t) = e^{t^2}, for which the integral defining the Laplace transform does not converge for any value of the Laplace variable s. So you could say that this continuous function does not have a Laplace transform.

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