Recent questions in Second order linear equations

Differential EquationsAnswered question

Aydin Welch 2022-12-20

Find the general solution of the given differential equation:

${y}^{\u2033}-2{y}^{\prime}+y=0$

${y}^{\u2033}-2{y}^{\prime}+y=0$

Differential EquationsAnswered question

blackdivcp 2022-10-23

One solution of the different equation ${y}^{\u2033}+{y}^{\prime}=0$ is $y={e}^{-x}$. Use Reduction of Order to find a second linearly independent solution.

Differential EquationsAnswered question

LEIDY KATERINE HERRERA AMORTEGUI2022-08-11

dx/dy=-(4y^2+6xy/3y^2+2x

Differential EquationsAnswered question

capellitad9 2022-07-17

If $y=x{e}^{7x}$ is a solution of a linear homogeneous 2nd order DE, then another solution might be?

Differential EquationsAnswered question

Amya Horn 2022-03-31

Solve the differential equation by using method of variation of parametrs

$y{}^{\u2034}+9{y}^{\prime}=\frac{1}{f\left(x\right)}$

take$f\left(x\right)=\mathrm{cos}11x$

take

Differential EquationsAnswered question

wibawanyacl3q 2022-03-29

Solve differential equation.

$y{}^{\u2033}+2{y}^{\prime}=3{x}^{2}+2x$

Differential EquationsAnswered question

Kendall Daniels 2022-03-28

A nonhomogeneous second-order linear equation and a complementary function $y}_{c$ are given. Find a particular solution of the equation.

$x}^{2}y{}^{\u2033}-4x{y}^{\prime}+6y={x}^{3};\text{}{y}_{c}={c}_{1}{x}^{2}+{c}_{2}{x}^{3$

Differential EquationsAnswered question

Reuben Brennan 2022-03-25

Find a second-order lincar equation for which

$y\left(x\right)={c}_{1}{e}^{3x}+{c}_{2}{e}^{5x}+\mathrm{sin}\left(2x\right)$

is the general solution

is the general solution

Differential EquationsAnswered question

Coradossi7xod 2022-03-25

Consider the following linear second-order homogeneous differential equation with constant coefficients and two initial conditions

$\frac{{d}^{2}y\left(t\right)}{{dt}^{2}}-\frac{1}{3}\cdot \frac{dy\left(t\right)}{dt}-\frac{2}{9}\cdot y\left(t\right)=0,\text{}y\left(0\right)=0,\text{}\frac{dy\left(0\right)}{dt}=-3$

Differential EquationsAnswered question

Blackettyl2j 2022-03-25

Solve the following linear second order homogeneous differential equation

$y{}^{\u2033}-\frac{3}{2}{y}^{\prime}+\frac{9}{16}y=0,$ $y\left(0\right)=1,y\text{'}\left(0\right)=-1$

Differential EquationsAnswered question

Pizzadililehz 2022-03-25

Find the general solution of the given differential equations

$4y{}^{\u2033}-4{y}^{\prime}-3=0$

Differential EquationsAnswered question

Destinee Hensley 2022-03-25

Find the general solution of the given second-order differential equations

$2y{}^{\u2033}+2{y}^{\prime}+y=0$

Differential EquationsAnswered question

kembdumatxf 2022-03-25

Find the general solution to the following second order differential equations.

$y{}^{\u2033}-{6}^{\prime}+25y=0$

Differential EquationsAnswered question

avalg10o 2022-03-25

Find a particular solution to the differential equation.

$y{}^{\u2033}-{y}^{\prime}-6y=\mathrm{sin}t+3\mathrm{cos}t$

Differential EquationsAnswered question

Jackson Floyd 2022-03-25

Find ODE having the given function as its general solution.

$y={x}^{2}+{c}_{1}{e}^{2x}+{c}_{2}{e}^{3x}$

Differential EquationsAnswered question

Asher Olsen 2022-03-24

Solve differential equation.

$y{}^{\u2033}-15{y}^{\prime}+56y=0$

Differential EquationsAnswered question

ideklaraz7xz 2022-03-24

Consider the following linear second order homogeneous differential equation wit constant coefficients and two initial conditions

$\frac{{d}^{2}y\left(t\right)}{{dt}^{2}}+\frac{dy\left(t\right)}{dt}-2y\left(t\right)=0,\text{}y\left(0\right)=-1\text{}\frac{dy\left(0\right)}{dt}=5$

Solve the differential equation.

Solve the differential equation.

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