Differential equations questions and answers

Recent questions in Differential Equations
Tahmid Knox 2020-11-08 Answered

A particle moves along the curve $x=2{t}^{2}y={t}^{2}-4t$ and z=3t-5 where t is the time.find the components of the velocity at t=1 in the direction i-3j+2k

Line 2020-11-08 Answered

How to solve this equation $y-4y+2y-16y=4x+1$ using Method of Undetermined Coefficient, Variation of Parameters and Laplace Transformation

Elleanor Mckenzie 2020-11-07 Answered

Solve differential equation $xydy-{y}^{2}dx=\left(x+y{\right)}^{2}{e}^{\left(}-y/x\right)$

opatovaL 2020-11-07 Answered

Write down the qualitative form of the inverse Laplace transform of the following function. For each question first write down the poles of the function , X(s) a) $X\left(s\right)=\frac{s+1}{\left(s+2\right)\left({s}^{2}+2s+2\right)\left({s}^{2}+4\right)}$ b) $X\left(s\right)=\frac{1}{\left(2{s}^{2}+8s+20\right)\left({s}^{2}+2s+2\right)\left(s+8\right)}$ c) $X\left(s\right)=\frac{1}{{s}^{2}\left({s}^{2}+2s+5\right)\left(s+3\right)}$

Tobias Ali 2020-11-06 Answered

Find Laplace transform of the given function $t{e}^{-4t}\mathrm{sin}3t$

glasskerfu 2020-11-05 Answered

Solve differential equation $dy/dx=15{x}^{2}{e}^{-y}$

sagnuhh 2020-11-05 Answered

Explain First Shift Theorem & its properties?

boitshupoO 2020-11-05 Answered

Find the inverse laplace transform of the function $Y\left(s\right)=\frac{{e}^{-s}}{s\left(2s-1\right)}$

Dolly Robinson 2020-11-02 Answered

Use the Laplace transform to solve the given integral equation $\left(s\right)=2{t}^{2}+{\int }_{0}^{t}\mathrm{sin}\left[2\left(t-\tau \right)\right]x\left(\tau \right)d\tau$

BenoguigoliB 2020-11-02 Answered

$y+y={e}^{-2t}\mathrm{sin}t,y\left(0\right)=y\prime \left(0\right)=0$ solution of given initial value problem with Laplace transform

generals336 2020-11-02 Answered

Find the Laplace transform $L\left\{{u}_{3}\left(t\right)\left({t}^{2}-5t+6\right)\right\}$ $a\right)F\left(s\right)={e}^{-3s}\left(\frac{2}{{s}^{4}}-\frac{5}{{s}^{3}}+\frac{6}{{s}^{2}}\right)$ $b\right)F\left(s\right)={e}^{-3s}\left(\frac{2}{{s}^{3}}-\frac{5}{{s}^{2}}+\frac{6}{s}\right)$ $c\right)F\left(s\right)={e}^{-3s}\frac{2+s}{{s}^{4}}$ $d\right)F\left(s\right)={e}^{-3s}\frac{2+s}{{s}^{3}}$ $e\right)F\left(s\right)={e}^{-3s}\frac{2-11s+30{s}^{2}}{{s}^{3}}$

Dottie Parra 2020-11-02 Answered

Solve the Differential equations $2y\prime \prime +3y\prime -2y=14{x}^{2}-4x-11,y\left(0\right)=0,y\prime \left(0\right)=0$

he298c 2020-11-02 Answered

Solve differential equation${y}^{\prime }+2y={y}^{2}$

pedzenekO 2020-11-01 Answered

Solve the Laplace transforms $\stackrel{˙}{x}-2\stackrel{¨}{x}+x={e}^{t}t$

Tazmin Horton 2020-11-01 Answered

Calculate the Laplace transform $L\left\{\mathrm{sin}\left(t-k\right)\cdot H\left(t-k\right)\right\}$

smileycellist2 2020-11-01 Answered

Solve the following IVP using Laplace Transform${y}^{\prime }-2y=1-t,y\left(0\right)=4$

UkusakazaL 2020-11-01 Answered

Solve $f\left(t\right)={e}^{t}\mathrm{cos}t$

Tahmid Knox 2020-10-31 Answered

How to solve for the equation${y}^{‴}+4{y}^{″}+5{y}^{\prime }+2y=4x+16$using laplace transform method given that

Bevan Mcdonald 2020-10-31 Answered

Find the laplace transform of the following $f\left(t\right)=t{u}_{2}\left(t\right)$ Ans. $F\left(s\right)=\left(\frac{1}{{s}^{2}}+\frac{2}{s}\right){e}^{-2s}$

fortdefruitI 2020-10-31 Answered

Use the Laplace transform to solve the given initial-value problem$y{}^{″}+2{y}^{\prime }+y=0,y\left(0\right)=1,{y}^{\prime }\left(0\right)=1$

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..