Explore Laplace Transform Equations

Use Theorem 7.4.3 to find the Laplace transform F(s) of the given periodic function.
F(s)=?

FobelloE 2021-03-18

Determine $L^{- 1} [\frac{(s - 4) e^{- 3 s}}{s^{2} - 4 s + 5}]$

necessaryh 2021-03-11

$y^{'} = 6 \frac{x^{2}}{2 y + \cos y}$

Tobias Ali 2021-03-09

Solve the following IVP using Laplace Transform
$y'' + 3 y' + 2 y = e^{- t}, y (0) = 0 y' (0) = 0$

snowlovelydayM 2021-03-09

$L^{- 1} (\frac{5}{s^{2} (s^{2} - 4 s + 5)}) = 5 \int_{0}^{\infty} (t - T) e^{2 T} \sin 2 T d T$
Select one: True or False

bobbie71G 2021-03-09

How to solve for third order differential equation of $y " - 7 y' + 6 y = 2 \sin (t)$ using Method of Laplace Transform when $y (0) = 0, y' (0) = 0, y " (0) = 0$ ?
Step by step

alesterp 2021-03-07

use the Laplace transform to solve the initial value problem.
$y " - 3 y^{'} + 2 y = {\begin{cases} 0 & 0 \leq t < 1 \\ 1 & 1 \leq t < 2 \\ - 1 & t \geq 2 \end{cases}$
$y (0) = - 3$
$y^{'} (0) = 1$

Clifland 2021-03-07

Determine the Laplace transform of the given function f.
$f (t) = (t - 1)^{2} u_{2} (t)$

lwfrgin 2021-03-07

Use the appropriate algebra and Table of Laplaces

Cheyanne Leigh 2021-03-06

Find the laplace transform by definition.
a) $L {2}$
b) $L {e^{2 t}}$
c) $L [e^{- 3 t}]$

generals336 2021-03-06

Find the solution of the initial value problem given below by Laplace transform
$y^{'} - y = t e^{t} \sin t$
$y (0) = 0$

pedzenekO 2021-03-05

Find the laplace transform of the following:
$a) t^{2} \sin k t$
$b) t \sin k t$

glasskerfu 2021-03-05

Find the inverse Laplace Tranformation by using convolution theorem for the function $\frac{1}{s^{3} (s - 5)}$

chillywilly12a 2021-03-04

Find the Laplace transformation (evaluating the improper integral that defines this transformation) of the real valued function f(t) of the real variable t>0. (Assume the parameter s appearing in the Laplace transformation, as a real variable).
$f (t) = 2 t^{2} - 4 \cosh (3 t) + e^{t^{2}}$

Emily-Jane Bray 2021-03-04

use properties of the Laplace transform and the table of Laplace transforms to determine L[f] $f (t) = e^{3 t} \cos 5 t - e^{- t} \sin 2 t$

Efan Halliday 2021-03-02

Solve the third-order initial value problem below using the method of Laplace transforms
$y^{‴} + 3 y^{″} - 18 y^{'} - 40 y = - 120$
$y (0) = 6$
$y^{'} (0) = 45$
$y " (0) = - 21$

Kyran Hudson 2021-03-02

use properties of the Laplace transform and the table of Laplace transforms to determine L[f] $f (t) = \int_{0}^{t} (t - w) \cos (2 w) d w$

Dottie Parra 2021-02-26

How many poles does the Laplace Transform of a square wave have?
a) 0
b) 1
c) 2
d) Infinitely Manhy

Armorikam 2021-02-26

Solve the following initial value problems using Laplace Transforms:
$\frac{d^{2} y}{{d x}^{2}} + 25 y = t$
$y (0) = 0$
$y^{'} (0) = 0.04$

babeeb0oL 2021-02-25

Solve no.4 inverse laplace
$L^{- 1} {s \ln (\frac{s}{\sqrt{s^{2} + 1}}) + \cot^{- 1 s}}$

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.

Differential Equations

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