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Recent questions in Second order linear equations

Dumaen80p3 2022-03-24

Solve the following second order nonhomogeneous linear differential equations (where no initial values are given, find the general solution).
$y^{″} - 2 y^{'} + y = - 8 \cos (x) + 8 \sin (x)$

Kason Palmer 2022-03-24

Consider the following second-order nonhomogeneous linear differential equation. Use the method of undetermined coefficients to find a particular solution for each equation. Then solve each equation for real general solution.
$y^{″} - 4 y^{'} + 3 y = (2 - 12 x) e^{x} + (60 + 40 x) (e^{3} x)$

anadyrskia0g5 2022-03-24

Find the general solution of the given second-order differential equations
$y^{″} + 4 y^{'} - y = 0$

ezpimpin6988ok1n 2022-03-24

Determine a unique solution of the separable differential equa- tion that satisfies the given initial condition.
$\frac{d^{2} y}{{d t}^{2}} = \frac{d y}{d t} \frac{d y}{d t} (0) = 2, y (0) = 3$

cleffavw8 2022-03-24

Find y:
$y^{″} - 9 y^{'} + 14 y = 0$

annlanw09y 2022-03-24

For what value of k, if any, will $y = k e^{- 2 x} + 4 \cos (3 x)$ be a solution to the differential equation $y + 9 y = 26 e^{- 2 x}$

afasiask7xg 2022-03-23

Find the general solution to the following second order differential equations.
$y^{″} - 5 y = 0$

anadyrskia0g5 2022-03-23

Consider the following second-order linear homogeneous difference equation with constant coefficients and two initial conditions:
$u_{n + 2} - 6 u_{n + 1} + 9 u_{n} = 0, u_{0} = 1, u_{1} = 9$
Determine the sequence $u_{2}, u_{3}, u_{4}, u_{5}$ . Solve the difference equation for $u_{n}$ and use the result to check for $u_{5}$

Aryan Salinas 2022-03-23

Solve the following second order Linear homogeneous /non-homogenous differential equation
$y^{″} - 4 y^{'} - 12 y = 3 e^{5 x}$

jermandcryspza3 2022-03-23

Find the general solution y(x) of the following second order linear ODEs:
$y^{″} - 4 y^{'} + 3 y = 0$

nastupnat0hh 2022-03-23

Solve the following Higher Order Non-homogenous DE using Methods of undetermined coefficients
$y^{″} - 2 y^{'} + y = 3 x + 2$

monkeyman130yb 2022-03-23

Find the general solution of $y^{″} + 9 y = 4 \cos 2 x$

Alexis Alexander 2022-03-23

Find the general solution
$y^{″} + 5 y^{'} - 6 y = 0$

jisu61hbke 2022-03-23

Solute the equation:
$(1 - x^{2}) y^{″} = x y^{'}$

Leroy Davidson 2022-03-23

Solve the differential equation
$y^{″} - y^{'} = \frac{e^{x}}{e^{x} + 1}$

ideklaraz7xz 2022-03-23

Find the general solution of the give equation
$3 y^{″} - 20 y^{'} + 12 y = 0$

burubukuamaw 2022-03-22

Find the general solution of the second order equation $t^{2} y^{″} + 2 t y^{'} - 2 y = 0$ given that $y_{1} (t) = t$ is a solution Also solve the initial value problem
$y^{‴} + 3 y^{″} - 4 y = 0, y (0) = 1, y^{'} (0) = 0, y^{″} (0) = \frac{1}{2}$

Dexter Odom 2022-03-22

Consider the following second-order nonhomogeneous linear differential equation. Use the method of undetermined coefficients to find a particular solution for each equation. Then solve each equation for real general solution.
$y^{″} + 100 y = 36 \cos (8 x) + 72 \sin (8 x)$

nastupnat0hh 2022-03-22

Find the general solution of the given second-order differential equation.
$y^{″} - y^{'} - 12 y = 0$

r1fa8dy5 2022-03-22

In this problem, $y = c_{1} e^{x} + c_{2} e^{- x}$ is a two-parameter family of solutions of the second-order DE $y^{″} - y = 0$ . Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.
$y (0) = 1, y^{'} (0) = 8$

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.

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