3 years ago

Brainliest if you pay for it

Mathematics

2 answers:

RoseWind [281]3 years ago

7 0

Answer:

i'd pay for it--

*vomits in mouth*

Step-by-step explanation:

seropon [69]3 years ago

3 0

Answer:

ohh thats interesting...

Step-by-step explanation:

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Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y

koban [17]

$\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}$

Substituting this into the other ODE gives

$-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0$

Since $x(t)=-\dfrac14y'(t)$ , it follows that $x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16$ . The ODE in $y$ has characteristic equation

$r^2-16=0$

with roots $r=\pm4$ , admitting the characteristic solution

$y_c=C_1e^{4t}+C_2e^{-4t}$

From the initial conditions we get

$y(0)=5\implies 5=C_1+C_2$

$y'(0)=16\implies-16=4C_1-4C_2$

$\implies C_1=\dfrac12,C_2=\dfrac92$

So we have

$\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}$

Take the derivative and multiply it by -1/4 to get the solution for $x(t)$ :

$-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}$

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4 years ago

Ralph is 3 times as old as Sara. In 4 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now.

marshall27 [118]

3x-x=(2x+4)-(x+4)? That is my answer but it might not be right

3 0

3 years ago

Does1/3 & 7/21 form a proportion

lesantik [10]

Because 1 * 21 = 3 * 7 ( 21 = 21 ) , 1/3&7/21 form a proportion.

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3 years ago

The perimeter of a square is 24.46 inches. What is the side length of the square?

Elina [12.6K]

A≈6.12in
I hope this helps!!!

7 0

3 years ago

Read 2 more answers

1.00

jenyasd209 [6]

Answer:

Step-by-step explanation:

Plug in 3 into both expressions

Then add those results

2(3)+21=6+21=27

3-24 =-21

-------

6 is the sum of 27 and -21

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4 years ago