Differential Equation Help: Solve with Confidence

College
Calculus and Analysis
Differential Equations

Recent questions in Differential Equations

banganX 2020-10-28

Find laplace transform of each following
a) $t^{n}$
b) $\cos ω t$
c) $\sin h (c t)$
d) $\cos h (c t)$

Isa Trevino 2020-10-28

Solve both
a)using the integral definition , find the convolution
$f * g of f (t) = \cos 2 t, g (t) = e^{t}$
b) Using above answer , find the Laplace Transform of f*g

Carol Gates 2020-10-28

Solve the linear equations by considering y as a function of x, that is, $y = y (x) . x y^{'} + (1 + x) y = e^{- x} \sin 2 x$

Globokim8 2020-10-28

Use the Laplace transform to solve the given initial-value problem.
$y^{″} - 6 y^{'} + 13 y = 0, y (0) = 0, y^{'} (0) = - 9$

Trent Carpenter 2020-10-28

find the inverse Laplace transform of the given function
$F (s) = \frac{e^{- 2} + e^{- 2 s} - e^{- 3 s} - e^{- 4 s}}{s}$

Brittney Lord 2020-10-28

Solve by using Laplace transform
$y " + y = \cos t, y (0) = 0, y^{'} (0) = - 1$

avissidep 2020-10-27

a) Find the Laplace transformation of the following function by using definition of Laplace transformation:
$f (t) = \cos (p t) where t \geq 0$

Amari Flowers 2020-10-26

Find the inverse laplace transform of
$\frac{6 s + 9}{s^{2} + 17} s > 0$
$y (t) = \dots$

Jerold 2020-10-26

The laplace transform for ramp function with a time delay can be expressed as follows

SchachtN 2020-10-26

DIFFERENTIAL EQUATION
Given $f (t) = - \frac{1}{2 t} + 8, 0 \leq t < 4, f (t + 4) = f (t)$
Find $F (s) = L {f (t)}$ of the Periodic Function

Wotzdorfg 2020-10-26

Find the differential dy for the given values of x and dx. $y = \frac{e^{x}}{10}, x = 0, d x = 0.1$

illusiia 2020-10-25

Solve differential equation $d y / d x = e^{4} x (y - 3)$

Dolly Robinson 2020-10-25

Create a 2nd order, homogeneous, linear IVP, that is not guaranteed to have a unique solution at $x_{0} = 3$

Lewis Harvey 2020-10-23

Write the first order differential equation for $y = 2 - \int_{0}^{x} (1 + y (t)) \sin t d t$

illusiia 2020-10-23

Find the inverse Laplace transform of
$\frac{6 s + 15}{(s^{2} + 25)}$
$s > 0$

Tyra 2020-10-20

Find the general solution of $y^{″} - 2 y^{'} + 2 y = x e^{x} \cos x$

UkusakazaL 2020-10-19

What is the Laplace transform of $x (t) = e^{- t} \cos (π) t$ ?

tinfoQ 2020-10-18

Laplace transforms A powerful tool in solving problems in engineering and physics is the Laplace transform. Given a function f(t), the Laplace transform is a new function F(s) defined by
$F (s) = \int_{0}^{\infty} e^{- s t} f (t) d t$
where we assume s is a positive real number. For example, to find the Laplace transform of $f (t) = e^{- t}$ , the following improper integral is evaluated using integration by parts:
$F (s) = \int_{0}^{\infty} e^{- s t} e^{- t} d t = \int_{0}^{\infty} e^{- (s + 1) t} d t = \frac{1}{(s + 1)}$
Verify the following Laplace transforms, where u is a real number.
$f (t) = 1 \to F (s) = \frac{1}{s}$

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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