Differential Equation Help: Solve with Confidence

College
Calculus and Analysis
Differential Equations

Recent questions in Differential Equations

mattgondek4 2021-09-07

Use Laplace transform to solve the initial-value problem
$y = 3, y (0) = 1, y^{'} (0) = 1$

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) $L {t + e^{3 t}} = \frac{1}{s^{2}} - \frac{1}{s + 3}$

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.
$y " - 4 y^{'} = e^{3 t}, y (0) = 0, y^{'} (0) = 0$

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
$L [2 t^{2} + 5 - 3 \cos π t], t \geq 0$

snowlovelydayM 2021-09-06

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

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 $\frac{w^{2}}{{(s + α)}^{2} + w^{2}}$

jernplate8 2021-09-05

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

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
$(t) = {\begin{cases} t & 0 \leq t < 1 \\ 1 & t \geq 1 \end{cases}$

geduiwelh 2021-09-04

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

Brennan Flores 2021-09-04

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

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..

Differential Equations

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