Differential Equation Help: Solve with Confidence

College
Calculus and Analysis
Differential Equations

Recent questions in Differential Equations

foass77W 2021-02-13

Determine the following integral $\int (\sin^{2} (2 x) + \cos^{2} (2 x)) (x^{2} - 2 \cos π + \frac{2}{x^{2}}) d x$

Daniaal Sanchez 2021-02-13

Find the solution $(x \frac{\sin y}{x}) d y = (y \frac{\sin y}{x} - x) d x$

geduiwelh 2021-02-13

Use a Laplace transform to determine the solution of the following systems with differential equations
a) $x^{'} + 4 x + 3 y = 0 with x (0) = 0$
$y^{'} + 3 x + 4 y = 2 e^{t}, y (0) = 0$

Jason Farmer 2021-02-12

Use the definition of Laplace Transforms to show that:
$L {t^{n}} = \frac{n!}{s^{n + 1}}, n = 1, 2, 3, \dots$

Harlen Pritchard 2021-02-12

Find $\frac{d x}{d y}$ if $y = \sin 2 x$

BenoguigoliB 2021-02-12

Contain linear equations with constants in denominators. Solve each equation
$\frac{5 + x - 2}{3} = \frac{x + 3}{8}$

Efan Halliday 2021-02-12

$y = 3 e^{3 x}$ is a solution of a second order linear homogeneous differential equation with constant coefficients. The equation is:
(a) $y^{″} - (3 + a) y^{'} + 3 a y = 0$ , a any real number.
(b) $y^{″} + y^{'} - 6 y = 0$
(c) $y^{″} + 3 y^{'} = 0$
(d) $y^{″} + (3 - a) y^{'} + 3 a y = 0$ , a any real number.
(e) Cannot be determined.

Tahmid Knox 2021-02-12

On solution of the differetial equation $y^{″} + y^{'} = 0$ is $y = e^{- x}$ . Use Reduction of Order to find a second linearly independent solution.

Amari Flowers 2021-02-12

Solve the linear equations by considering y as a function of x, that is,
$y = y (x)$
$3 x y^{'} + y = 12 x$

abondantQ 2021-02-12

Solve $y " + 4 y = f (t) subject to y (0) = 0, y^{'} (0) = 2 and$
$f (t) = {\begin{cases} 0 & t < π \\ 1 & t \geq π \end{cases}$

Braxton Pugh 2021-02-12

Use the definition of Laplace Transforms to find $L {f (t)}$
$f (t) = {\begin{cases} - 1 & 0 \leq t < 1 \\ 1 & t \geq 1 \end{cases}$
Then rewrite f(t) as a sum of step functions, $u_{c} (t)$ , and show that by taking Laplace transforms, this yields the same answer as your direct computation.

Suman Cole 2021-02-12

Solve the differential equation $(d P) / d t = 4 P + a$

Wotzdorfg 2021-02-11

Solve the Bernoulli Differential equations. $x y' - y = x y^{5}$

melodykap 2021-02-10

Find the equation by applying the Laplace transform.
$y^{(4)} - y = \sin h t$
$y (0) = y^{'} (0) = y " (0) = 0$
$y^{‴} (0) = 1$

sibuzwaW 2021-02-10

Solve $\sqrt{16 - x^{2}}$ between -4 and 0

Rui Baldwin 2021-02-09

Define the term homogeneous first order ordinary differential equation.
Hence solve $x^{2} y^{'} + x y = x 2 + y$

Emily-Jane Bray 2021-02-09

Solve the initial value problem below using the method of Laplace transforms
$2 t y^{″} - 3 t y^{'} + 3 y = 6, y (0) = 2, y^{'} (0) = - 3$

BenoguigoliB 2021-02-09

Solve $y (t) + 2 \int_{0}^{t} e^{- 2 (t - τ)} y (τ) d τ = e^{- 2 t}$

OlmekinjP 2021-02-09

Solve differential equation $y^{'} + 3 y = 3 x^{2} e^{- 3 x}$

Jerold 2021-02-09

Solve differential equation $(y^{2} + 1) d x = y \sec^{2} (x) d y$ , $y (0) = 0$

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

Solve System of Differential Equations with Expert Help