Recent questions in Laplace transform

Differential EquationsAnswered question

fortdefruitI 2020-10-31

Use the Laplace transform to solve the given initial-value problem

$y{}^{\u2033}+2{y}^{\prime}+y=0,y\left(0\right)=1,{y}^{\prime}\left(0\right)=1$

Differential EquationsAnswered question

ka1leE 2020-10-31

Use integration by parts to find the Laplace transform of the given function

$f(t)=4t\mathrm{cos}h(at)$

Differential EquationsAnswered question

banganX 2020-10-28

Find laplace transform of each following

a)$t}^{n$

b)$\mathrm{cos}\omega t$

c)$\mathrm{sin}h\left(ct\right)$

d)$\mathrm{cos}h\left(ct\right)$

a)

b)

c)

d)

Differential EquationsAnswered question

Isa Trevino 2020-10-28

Solve both

a)using the integral definition , find the convolution

$f\ast g\text{of}f(t)=\mathrm{cos}2t,g(t)={e}^{t}$

b) Using above answer , find the Laplace Transform of f*g

a)using the integral definition , find the convolution

b) Using above answer , find the Laplace Transform of f*g

Differential EquationsAnswered question

Globokim8 2020-10-28

Use the Laplace transform to solve the given initial-value problem.

$y{}^{\u2033}-6{y}^{\prime}+13y=0,\text{}\text{}\text{}y\left(0\right)=0,\text{}\text{}\text{}{y}^{\prime}\left(0\right)=-9$

Differential EquationsAnswered question

Trent Carpenter 2020-10-28

find the inverse Laplace transform of the given function

$F(s)=\frac{{e}^{-2}+{e}^{-2s}-{e}^{-3s}-{e}^{-4s}}{s}$

Differential EquationsAnswered question

Brittney Lord 2020-10-28

Solve by using Laplace transform

$y"+y=\mathrm{cos}t\text{},y(0)=0\text{},\text{}{y}^{\prime}(0)=-1$

Differential EquationsAnswered question

avissidep 2020-10-27

a) Find the Laplace transformation of the following function by using definition of Laplace transformation:

$f(t)=\mathrm{cos}(pt)\text{where}t\ge 0$

Differential EquationsAnswered question

Amari Flowers 2020-10-26

Find the inverse laplace transform of

$\frac{6s+9}{{s}^{2}+17}s>0$

$y(t)=\dots $

Differential EquationsAnswered question

Jerold 2020-10-26

The laplace transform for ramp function with a time delay can be expressed as follows

Differential EquationsAnswered question

SchachtN 2020-10-26

DIFFERENTIAL EQUATION

Given

Find

Differential EquationsAnswered question

illusiia 2020-10-23

Find the inverse Laplace transform of

$\frac{6s+15}{({s}^{2}+25)}$

$s>0$

Differential EquationsAnswered question

UkusakazaL 2020-10-19

What is the Laplace transform of $x\left(t\right)={e}^{-t}\mathrm{cos}\left(\pi \right)t$ ?

Differential EquationsAnswered question

tinfoQ 2020-10-18

Laplace transforms A powerful tool in solving problems in engineering and physics is the Laplace transform. Given a function f(t), the Laplace transform is a new function F(s) defined by

where we assume s is a positive real number. For example, to find the Laplace transform of

Verify the following Laplace transforms, where u is a real number.

If you came across the necessity of Laplace transform, it is most likely that you are coming from a mechanical engineering or electrical background. The concept is used to solve differential equations, which is why it is vital to consider Laplace transform examples as you are looking through the questions and connect the dots as the equations are being approached. Remember to look through our list of answers as these will help you to address various Laplace transform problems and find solutions to complex Laplace transform questions as you are dealing with your Laplace transform equation homework.