Practice Linear Equations Examples with Ease

Recent questions in Second order linear equations

he298c 2021-02-25

Give the correct answer and solve the given equation: $y - 4y + 3 y = x, y_{1} = e^{x}$

shadsiei 2021-02-25

Solve the linear equations by considering y as a function of x, that is, y = y(x).
$\frac{d y}{d x} - y = 4 e^{x}, y (0) = 4$

chillywilly12a 2021-02-24

Solve the linear equations by considering y as a function of x, that is, $y = y (x) .$
$\frac{d y}{d x} + (\frac{1}{x}) y = x$

Tazmin Horton 2021-02-21

Linear equations of second order with constant coefficients.
Find all solutions on
$(- \infty, + \infty) . y - 2 y^{'} + 5 y = 0$

Jason Farmer 2021-02-21

Solve the Differential equations $y + 4 y = 4 \tan^{2} x$

tabita57i 2021-02-21

The coefficient matrix for a system of linear differential equations of the form $y^{1} = A_{y}$ has the given eigenvalues and eigenspace bases. Find the general solution for the system.
$[λ_{1} = - 1 \Rightarrow {[\begin{matrix} 103 \end{matrix}]}, λ_{2} = 3 i \Rightarrow {[\begin{matrix} 2 - i 1 + i 7 i \end{matrix}]}, λ_{3} = - 3 i \Rightarrow {[\begin{matrix} 2 + i 1 - i - 7 i \end{matrix}]}]$

Braxton Pugh 2021-02-21

Determine whether three series converges or diverges. if it converges, find its sum
$\sum_{n = 0}^{\infty} \frac{{(- 1)}^{n}}{4^{n}}$

UkusakazaL 2021-02-20

Find the general solution to the equation $x (\frac{d y}{d x}) + 3 (y + x^{2}) = \frac{\sin x}{x}$

boitshupoO 2021-02-19

Find the differential of the function. $T = \frac{v}{1} + u v w$

Khadija Wells 2021-02-16

A dynamic system is represented by a second order linear differential equation.
$2 \frac{d^{2} x}{d t^{2}} + 5 \frac{d x}{d t} - 3 x = 0$
The initial conditions are given as:
when $t = 0, x = 4$ and $\frac{d x}{d t} = 9$
Solve the differential equation and obtain the output of the system x(t) as afunction of t.

Braxton Pugh 2021-02-15

Solve
$(d^{2} \frac{y}{d t^{2}}) + 7 (\frac{d y}{d t}) + 10 y = 4 t e^{- 3} t$ with
$y (0) = 0, y^{'} (0) = - 1$

Daniaal Sanchez 2021-02-13

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

foass77W 2021-02-13

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

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.

BenoguigoliB 2021-02-12

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

Harlen Pritchard 2021-02-12

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

Amari Flowers 2021-02-12

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

Wotzdorfg 2021-02-11

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

sibuzwaW 2021-02-10

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

Dealing with second-order linear equations is quite complex for post-secondary algebra students who have to provide such equations for statistical analysis where calculus is involved. It’s a reason why linear equation examples help with the system of linear equations, especially when it has to be implemented in Sociology, Engineering, or even Business Management. It is a reason why linear equations word problems have also been offered below as students cannot approach them without some linear equations solver that would contain an explanation with details. You can see answers to questions and learn how linear equations and inequalities can be solved.

Differential Equations

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