 # Solve System of Differential Equations with Expert Help

Recent questions in Differential Equations Jonalito Juan2023-05-12

## A body falls from rest against resistance proportional to the square root of the speed at any instant. If the body attains speed V1 and V2 feet per second, after 1 and 2 seconds in motion, respectively, find an expression for the limiting velocity. Eliza Shields 2023-04-01

## The Laplace transform of $u\left(t-2\right)$ is (a) $\frac{1}{s}+2$(b) $\frac{1}{s}-2$(c) ${e}^{2}\frac{s}{s}\left(d\right)\frac{{e}^{-2s}}{s}$?? Gianna Johnson 2023-04-01

## The Laplace transform of the product of two functions is the product of the Laplace transforms of each given function. True or False nepojamanuszc 2023-03-23

## 1 degree on celsius scale is equal to A) $\frac{9}{5}$ degree on fahrenheit scaleB) $\frac{5}{9}$ degree on fahrenheit scaleC) 1 degree on fahrenheit scaleD) 5 degree on fahrenheit scale inframundosa921 2023-03-21

## The Laplace transform of $t{e}^{t}$ is A. $\frac{s}{\left(s+1{\right)}^{2}}$ B. $\frac{1}{\left(s-1{\right)}^{2}}$ C. $\frac{s}{\left(s+1{\right)}^{2}}$ D. $\frac{s}{\left(s-1\right)}$ enrosca0fx 2023-01-03

## What is the Laplace transform of $t\mathrm{cos}t$ into the s domain? Aydin Welch 2022-12-20

## Find the general solution of the given differential equation:${y}^{″}-2{y}^{\prime }+y=0$ Hailee S.2022-12-19

## The rate at which a body cools is proportional to the difference in temperature between the body and its surroundings. If a body in air at 0℃ will cool from 200℃ 𝑡𝑜 100℃ in 40 minutes, how many more minutes will it take the body to cool from 100℃ 𝑡𝑜 50℃ ? Hailee S.2022-12-19

## A body falls from rest against a resistance proportional to the velocity at any instant. If the limiting velocity is 60fps and the body attains half that velocity in 1 second, find the initial velocity. unecewelpGGi 2022-11-25

## What's the correct way to go about computing the Inverse Laplace transform of this?$\frac{-2s+1}{\left({s}^{2}+2s+5\right)}$I Completed the square on the bottom but what do you do now?$\frac{-2s+1}{\left(s+1{\right)}^{2}+4}$ hemotropS7A 2022-11-25

## How to find inverse Laplace transform of the following function?$X\left(s\right)=\frac{s}{{s}^{4}+1}$I tried to use the definition: $f\left(t\right)={\mathcal{L}}^{-1}\left\{F\left(s\right)\right\}=\frac{1}{2\pi i}\underset{T\to \mathrm{\infty }}{lim}{\int }_{\gamma -iT}^{\gamma +iT}{e}^{st}F\left(s\right)\phantom{\rule{thinmathspace}{0ex}}ds$or the partial fraction expansion but I have not achieved results. phumzaRdY 2022-11-25

## How do i find the lapalace transorm of this intergral using the convolution theorem? ${\int }_{0}^{t}{e}^{-x}\mathrm{cos}x\phantom{\rule{thinmathspace}{0ex}}dx$ klupko5HR 2022-11-25

## Find the inverse Laplace transform of $\frac{{s}^{2}-4s-4}{{s}^{4}+8{s}^{2}+16}$ vegetatzz8s 2022-11-25

## How can I solve this differential equation? : Ghillardi4Pi 2022-11-24

## Сalculate which equation represents a line that passes through $\left(5,1\right)$ and has a slope of StartFraction one-half EndFraction? Alberanteb4T 2022-11-24

## inverse laplace transform - with symbolic variables:$F\left(s\right)=\frac{2{s}^{2}+\left(a-6b\right)s+{a}^{2}-4ab}{\left({s}^{2}-{a}^{2}\right)\left(s-2b\right)}$My steps:$F\left(s\right)=\frac{2{s}^{2}+\left(a-6b\right)s+{a}^{2}-4ab}{\left(s+a\right)\left(s-a\right)\left(s-2b\right)}$$=\frac{A}{s+a}+\frac{B}{s-a}+\frac{C}{s-2b}+K$$K=0$$A=F\left(s\right)\ast \left(s+a\right)$ hemotropS7A 2022-11-24

## How to find the Direct Discrete Laplace Transform of $\left(\genfrac{}{}{0}{}{2n}{n}\right)$ ingerentayQL 2022-11-24

## Laplace transform of $\left(3e{\right)}^{t}{\mathrm{sin}}^{2}t$ Juan Lowe 2022-11-23
## How to solve such fraction differential equation?Here's my first-order differential equation:$\left({x}^{3}-2x{y}^{2}\right)dx+3y{x}^{2}dy=xdy-ydx$I've tried to make it fraction, but it isn't separable differential equation, also it isn't differential equation in total differentials, so after it I lose any clue for answer. siotaody 2022-11-23