Differential Equation Help: Solve with Confidence

College
Calculus and Analysis
Differential Equations

Recent questions in Differential Equations

Jerold 2021-01-10

Calculate:
$y^{″} - 4 y^{'} + 9 y = 0, y (0) = 0, y^{'} (0) = - 8$

Wribreeminsl 2021-01-10

Using the second order linear ordinary differential equations existence and uniqueness theorem , find the largest interval in which the solution to the initial value is certain to exist.
$t (t^{2} - 4) y^{″} - t y^{'} + 3 t^{2} y = 0, y (1) = 1 y^{'} (1) = 3$

melodykap 2021-01-10

Determine $L^{- 1} [F (s)]$ for the given F.
$F (s) = \frac{s - 2}{s^{2} + 2 s + 3}$

postillan4 2021-01-10

Determine the transfer function (H(s)) of the following system using Laplace transform properties.
$\ddot{y} + 4 \dot{y} + 4 y = - x + 2 \dot{x}$
Note: Assume that all initial conditions are zero

ruigE 2021-01-08

Solve differential equation $y^{'} - 2 y = 1 - 2 x$

fortdefruitI 2021-01-08

Solve the Differential equations $(D^{3} - 3 D + 2) y = 0$

nagasenaz 2021-01-08

Solve Using Laplace transform
$\frac{d y}{d t} = y + 10 u_{4} (t) \sin (2 (t - 4)), y (0) = 2$

opatovaL 2021-01-08

use the Laplace transform to solve the given initial-value problem
$y^{″} + 5 y^{'} + 4 y = 0$
$y (0) = 1$
$y^{'} (0) = 0$

ddaeeric 2021-01-08

$f (t) = 3 e^{2 t}$
Determine L[f]
Let f be a function defined on an interval $[0, \infty)$
The Laplace transform of f is the function F(s) defined by
$F (s) = \int_{0}^{\infty} e^{- s t} f (t) d t$
provided that the improper integral converges. We will usually denote the Laplace transform of f by L[f].

Josalynn 2021-01-08

find the inverse of Laplace transform
$\frac{3}{(s + 2)^{2}} - \frac{2 s + 6}{(s^{2} + 4)}$

sjeikdom0 2021-01-08

Give the correct answer and solve the given equation $x y'' - y' = (3 + x) x^{2} e^{x}$

amanf 2021-01-06

Use laplace transform to solve the given system
$a) \frac{d x}{d t} - 2 x - \frac{d x}{d t} - y = 6 e^{3 t}$
$2 (\frac{d x}{d t}) - 3 x + \frac{d x}{d t} - 3 y = 6 e^{3 t} x (0) = 3 y (0) = 0$

remolatg 2021-01-05

Solution of the following initial value problem using the Laplace transform
$y " + 4 y = 4 t$
$y (0) = 1$
$y^{'} (0) = 5$

CMIIh 2021-01-05

Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral before transforming.(Write your answer as a function of s.)
$L {e^{- t} \cdot e^{t} \cos (t)}$

Rui Baldwin 2021-01-05

Linear equations of second order with constant coefficients. Find all solutions on $(- \infty, + \infty) . y + 4 y = 0$

beljuA 2021-01-04

Check that the provided functions serve as a foundation for the solutions to the provided equation and resolve the provided initial value problem.
$4 x^{2} - 3 y = 0, y (1) = 3, y^{'} (1) = 2.5,$ the basis of solution are $y_{1} = x^{- \frac{1}{2}}$ and $y_{2} = x (\frac{3}{2})$

ediculeN 2021-01-04

Solve the initial value problem.
$4 x^{2} y^{″} + 17 y = 0, y (1) = - 1, y^{'} (1) = - \frac{1}{2}$

Tolnaio 2021-01-02

What is the Laplace Transformation and Solution for $C (X) = A X + B$
$C_{0}$ at x=0 and CL at x=L with concentration initially at $C_{0}$ between x=0 and L.

Isa Trevino 2021-01-02

Solve $y^{″} + 3 y^{'} - 10 y = x (e^{x} + 1)$

Kye 2021-01-02

Solve this equation pls $y^{'} + x y = e^{x}$
$y (0) = 1$

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..

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