2 years ago

Who else be sad or in they feels ↓ ↓

Mathematics

2 answers:

mr_godi [17]2 years ago

5 0

Kkkkskeleksosoeoeoeoeleekd

wariber [46]2 years ago

4 0

Answer:

mee

Step-by-step explanation:

You might be interested in

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

2 years ago

What is 2/10 as a percent

Wittaler [7]

2/10 as a percent would be 20%.

5 0

3 years ago

Read 2 more answers

Jonathan spins the spinner 10 times. What is the theoretical probability that it stops on the black sector on the last spin?

gayaneshka [121]

1 over 4. It asks for the last spin only.

7 0

3 years ago

Can someone help me?

Fed [463]

Answer:

sorry bruv wish you the best i will pray for you

Step-by-step explanation:

7 0

2 years ago

Fifteen of the 60 dogs at the shelter are purebred. What<br> percent of the dogs are purebred?

Aleks [24]

60/15=4 meaning 25% of the dogs are purebreed

4 0

2 years ago

Read 2 more answers