Explore Laplace Transform Equations

Solve
$L^{- 1} (\frac{2 s - 11}{{(s - 2)}^{2} + 4})$

sjeikdom0 2021-09-06

Use Laplace transform to solve the initial-value problem
$\frac{d^{2} y}{{d t}^{2}} + 25 y = 10 \cos 5 t, y (0) = 1, y^{'} (0) = 0$

Braxton Pugh 2021-09-06

Solve the IVP using Laplace transforms:
$y^{″} + 3 y = U (t - π) e^{- 2 (t - π)}, y (0) = 0, y^{'} (0) = 0$

Kyran Hudson 2021-09-06

Using only the Laplace transform table, obtain the Laplace transforms of the following function:
$cosh (4 t) - 4 t$
where ”cosh” stands for hyperbolic cosine and cosh $x = \frac{e^{x} - e^{- x}}{2}$

hexacordoK 2021-09-06

What is the laplace transform s=4 ?
$h (t) = e^{- 3 (t - 2)} u (t - 2)$

Yasmin 2021-09-06

Solve the following IVP using Laplace Transform.
$y " - 4 y^{'} = e^{3 t}, y (0) = 0, y^{'} (0) = 0$

Armorikam 2021-09-06

Laplace transform which one is correct
$L {t + e^{3 t}}$
1) $L {t + e^{3 t}} = \frac{1}{s^{2}} + \frac{1}{s - 3}$
2) $L {t + e^{3 t}} = \frac{1}{s^{2}} - \frac{1}{s - 3}$
3) $L {t + e^{3 t}} = \frac{1}{s^{2}} + \frac{1}{s + 3}$
4) $L {t + e^{3 t}} = \frac{1}{s^{2}} - \frac{1}{s + 3}$

Lennie Carroll 2021-09-06

Solve the initial value problem using Laplace transforms.
$y " + y = f (t), y (0) = 0, y^{'} (0) = 1$
Here
$f (t) = {\begin{cases} 0 & 0 \leq t < 3 π \\ 1 & t \geq 3 π \end{cases}$

cistG 2021-09-06

Find the inverse Laplace transformation for $\frac{2 s - 11}{(s^{2} - 4 s + 8)}$

Burhan Hopper 2021-09-06

Find the laplace inverse for the following
1) $\frac{s^{2}}{s^{2} + 2 s + 3}$
2) $\frac{e^{- 5 s}}{s}$

generals336 2021-09-06

Use table of transforms to find
$L [2 t^{2} + 5 - 3 \cos π t], t \geq 0$

Kye 2021-09-05

Find $L [\frac{e^{- 3 t} - \cos 2 t}{t}]$

CMIIh 2021-09-05

Without using the shift formula prove that Laplace of
$f (t) = e^{- a t} \cos w t$ is $\frac{w^{2}}{{(s + α)}^{2} + w^{2}}$

hexacordoK 2021-09-05

determine the inverse Laplace transform of the given function.
$F (s) = \frac{2 s}{s^{2} + 9}$

Kyran Hudson 2021-09-05

find the solution to the initial value problem using the laplace Transform.
$x y " + (3 - x) y^{'} - 2 y = x - 1$
$y (0) = 0, y^{'} (0) = \frac{1}{3}$

Sinead Mcgee 2021-09-05

find the Laplace transform by the method of the unit step function
$(t) = {\begin{cases} t & 0 \leq t < 1 \\ 1 & t \geq 1 \end{cases}$

jernplate8 2021-09-05

$y^{'} - \int_{0}^{t} y (τ) d τ = 4 t e^{- t}, y (0) = 3$

geduiwelh 2021-09-04

If $X (s) = \frac{1}{(s - 1) (s + 1)}$ , find x(t)

tabita57i 2021-09-04

use the inverse form of the First translation theorem to find the following laplace transform
$L^{- 1} {\frac{s}{s^{2} + 4 s + 5}}$

Brennan Flores 2021-09-04

Find the laplace transform of $\frac{1}{2 a} (\sin a t + a t \cos a t)$

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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