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2 years ago

Can somone pls c h a t me

2 answers:

5 0

Hey bestie. I really don’t know what to say except for Pinterest is probably the place for you. There’s a bunch of people looking for friends there. Best of luck.

r-ruslan [8.4K]2 years ago

4 0

Answer:

Step-by-step explanation:

go seek some therapy

+1 972-423-3555

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1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

$\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

7 0

3 years ago

What is the perimeter of the framed picture in terms of x? ( x + ) inches

Marysya12 [62]

Answer:

jjytrewasxcfgyuikjyt45678ijhgfgn

Step-by-step explanation:

5 0

3 years ago

9. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!

stiv31 [10]

9.) Answer: B. f(x) = 4 - x

Explanation/Proof:

If we substitute, the answers are correct.

f(x) = 4 - (1)

f(x) = 3 ✅

f(x) = 4 - (2)

f(x) = 2 ✅

And so on and so forth.

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2 years ago

Read 2 more answers

You deleted 18 of your Facebook friends which was 2/3 of your friends.How many Facebook friends do you have left?

Schach [20]

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18 divided by 3 is 6

3 0

3 years ago

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Y = 2x^2+4x-3 If you were to do a quadratic formula then what is a,b, and c?

jasenka [17]

Part 1:
a = 2
b = 4
c = -3
Part 2: the parabola will open up
Part 3: axis of symmetry x = -1