# Differential equations questions and answers

Recent questions in Differential equations

### Find the laplace transform $$\displaystyle{L}{\left[{\left({t}^{{2}}+{4}\right)}{e}^{{{2}{t}}}-{e}^{{-{2}{t}}}{\cos{{t}}}\right]}$$

Emeli Hagan 2021-09-22 Answered

### Find Laplace transformation of the intengral from 0 to t of $$\displaystyle\tau{\cos{{\left({3}\tau\right)}}}{d}\tau$$

Rui Baldwin 2021-09-20 Answered

### Obtain Laplace transforms for the function $$\displaystyle{e}^{{t}}$$ step(t−3)

Bevan Mcdonald 2021-09-19 Answered

### $$\displaystyle{L}^{{-{1}}}{\left({\frac{{{5}{s}+{2}}}{{{s}^{{2}}+{9}}}}\right)}=$$ a)$$\displaystyle{5}{\cos{{t}}}+{\frac{{{1}}}{{{3}}}}{\sin{{t}}}$$ b)$$\displaystyle{5}{\cos{{9}}}{t}+{\frac{{{1}}}{{{3}}}}{\sin{{9}}}{t}$$ c)$$\displaystyle{5}{\cos{{3}}}{t}+{\frac{{{2}}}{{{3}}}}{\sin{{3}}}{t}$$ d)$$\displaystyle{5}{\cos{{3}}}{t}+{3}{\sin{{2}}}{t}$$

opatovaL 2021-09-18

### Find Laplace transforms of $$\displaystyle{\sin{{h}}}{3}{t}$$ $$\displaystyle{{\cos}^{{2}}{2}}{t}$$

Tazmin Horton 2021-09-18 Answered

### determine the inverse Laplace transform of the given function. $$\displaystyle{F}{\left({s}\right)}={\frac{{{2}{s}+{1}}}{{{s}^{{2}}+{16}}}}$$

Marvin Mccormick 2021-09-18 Answered

### Find the Laplace Transform of the function. $$\displaystyle{x}{\left({t}\right)}={3}{e}^{{{4}{\left({t}+{2}\right)}}}{u}{\left({t}+{2}\right)}+{3}{\left({t}-{5}\right)}{u}{\left({t}-{5}\right)}+{3}{\sin{{\left({t}+{2}\right)}}}{u}{\left({t}+{2}\right)}$$

Amari Flowers 2021-09-18 Answered

### Find f(t) $$L^{-1}\left\{\frac{(3s-1)}{s^2(s+1)^3}\right\}$$

Speaking of differential equations, these are used not only by those students majoring in Physics because solving differential equations is also quite common in Statistics and Financial Studies. Explore the list of questions and examples of equations to get a basic idea of how it is done.

These answers below are meant to provide you with the starting points as you work with your differential equations. If you need specific help or cannot understand the rules behind the answers that are presented below, start with a simple equation and learn with the provided solutions..

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