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2 years ago

Helpppp give explanation too pleaseee!

Mathematics

2 answers:

olga2289 [7]2 years ago

7 0

Answer:

Step-by-step explanation:

You have to add all sides of length to get the perimeter

Agata [3.3K]2 years ago

6 0

I hope this helped and was right , have a nice day

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Solve these linear equations in the form y=yn+yp with yn=y(0)e^at.

WINSTONCH [101]

Answer:

a) $y(t) = y_{0}e^{4t} + 2$ . It does not have a steady state

b) $y(t) = y_{0}e^{-4t} + 2$ . It has a steady state.

Step-by-step explanation:

a) $y' -4y = -8$

The first step is finding $y_{n}(t)$ . So:

$y' - 4y = 0$

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

$r - 4 = 0$

$r = 4$

So:

$y_{n}(t) = y_{0}e^{4t}$

Since this differential equation has a positive eigenvalue, it does not have a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

$y_{p}(t) = C$

$(y_{p})' -4(y_{p}) = -8$

$(C)' - 4C = -8$

C is a constant, so (C)' = 0.

$-4C = -8$

$4C = 8$

$C = 2$

The solution in the form is

$y(t) = y_{n}(t) + y_{p}(t)$

$y(t) = y_{0}e^{4t} + 2$

b) $y' +4y = 8$

The first step is finding $y_{n}(t)$ . So:

$y' + 4y = 0$

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

$r + 4 =$

$r = -4$

So:

$y_{n}(t) = y_{0}e^{-4t}$

Since this differential equation does not have a positive eigenvalue, it has a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

$y_{p}(t) = C$

$(y_{p})' +4(y_{p}) = 8$

$(C)' + 4C = 8$

C is a constant, so (C)' = 0.

$4C = 8$

$C = 2$

The solution in the form is

$y(t) = y_{n}(t) + y_{p}(t)$

$y(t) = y_{0}e^{-4t} + 2$

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3 years ago

Can someone explain how to do these thx

Monica [59]

Answer:

i have made it in above picture

hope it helps

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2 years ago

PLEASE ANSWER:Which of the following are examples of exponential growth? Select all that apply Shasta increases the amount she s

Monica [59]

Answers: Shasta increases the amount she saves each month by 5%. The amount of cell phone subscribers in a small town increases by 75% each year.The price of a stock goes up 12% each year.
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3 years ago

Read 2 more answers

What number makes the equation true ÷3=6

Akimi4 [234]

Answer:2

Step-by-step explanation:

you just do 6 divided by 3 and get 2

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3 years ago

Solve each equation:

timurjin [86]