Calculate the Laplace transform

OlmekinjP
2021-09-15
Answered

Calculate the Laplace transform

You can still ask an expert for help

Nathanael Webber

Answered 2021-09-16
Author has **117** answers

Step 1

Apply linearity

using the basic formulas

and

So,

asked 2021-12-08

How to find the Laplace transform of $\frac{1-\mathrm{cos}\left(t\right)}{{t}^{2}}$ ?

F(S)=?

F(S)=?

asked 2022-01-17

Find the general solution to the differential equation

$\frac{dy}{dt}={t}^{3}+2{t}^{2}-8t$

Also, part 8B. asks: Show that the constant function$y\left(t\right)=0$ is a solution.

Ive

Also, part 8B. asks: Show that the constant function

Ive

asked 2021-12-25

For the following exercises, use logarithmic differentiation to find $\frac{dy}{dx}$

$y={({x}^{2}-1)}^{\mathrm{ln}x}$

asked 2021-05-16

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

$dy/dt-y=z,\text{}y(0)=0$

asked 2021-12-27

A racer accelerates from a stop so that its speed is 10t m/s t second after starting how far will the car go in 4 seconds using differential equations?

asked 2021-12-26

For each of the following differential equations, determine the general or particular solution: $2x{y}^{\prime}+y={y}^{2}\mathrm{log}x$

asked 2020-11-27

Find Laplace of given fn:

$f(t)={\int}_{0}^{t}\mathrm{sin}(t-\tau )\mathrm{cos}\tau d\tau $