We are allowed to solve differential equations with TI-89.

quiquenobi2v6
2022-01-20
Answered

Does ODE initial value problem produce beat or resonance phenomenon?

$x{}^{\u2033}+9x=\mathrm{sin}\left(3t\right)$

$x\left(0\right)={x}^{\prime}\left(0\right)=0$ .

We are allowed to solve differential equations with TI-89.

We are allowed to solve differential equations with TI-89.

You can still ask an expert for help

asked 2022-04-15

find the laplace transform of this equation:

$4-4t+2{t}^{2}$

What I am doing:

$\frac{4}{s}-\frac{4}{{s}^{2}}+\frac{4}{{s}^{3}}$

$\frac{4{s}^{2}-4s}{{s}^{3}}+\frac{4}{{s}^{3}}$

$\frac{4{s}^{2}-4s+4}{s3}$

But I am getting the wrong answer, can you please tell me what I am doing wrong?

What I am doing:

But I am getting the wrong answer, can you please tell me what I am doing wrong?

asked 2021-12-29

Solve the given differential equation. If an initial condition is given, also find the solution that satisfies it.

$({e}^{x}+1)\frac{dy}{dx}=y-y{e}^{x}$

asked 2021-05-01

Use Theorem 7.4.3 to find the Laplace transform F(s) of the given periodic function.

F(s)=?

F(s)=?

asked 2021-09-26

Use Laplace transforms to solve the following initial value problem.

The solution is

asked 2022-09-11

Solve

$$\{\begin{array}{rl}& {y}^{\u2033}-3{y}^{\prime}+2y=g\\ & y(0)={y}^{\prime}(0)=0\end{array}$$

whereas

$$g(t)=\{\begin{array}{ll}0,& t>\pi \\ \mathrm{sin}t,& 0\le t\le \pi .\end{array}$$

$$\{\begin{array}{rl}& {y}^{\u2033}-3{y}^{\prime}+2y=g\\ & y(0)={y}^{\prime}(0)=0\end{array}$$

whereas

$$g(t)=\{\begin{array}{ll}0,& t>\pi \\ \mathrm{sin}t,& 0\le t\le \pi .\end{array}$$

asked 2021-10-18

Find the general solution of the given differential equation.y” + 2y' + y = 2e−t

asked 2021-02-19

Use Laplace transform to solve the following initial-value problem

a)

b)

c)

d)

e)

f) Non of the above