I believe the answers are -1.86, -0.25, and 2.11
Answer:Answer:
y=-1/6x+4
Step-by-step explanation:
idk im probably wrong but i used mathpapa which is 99.9% accurate srry vro i need points
The solution to the given differential equation
is ,
, where c is constant of integration.
For given question,
We have been given a differential equation ![\frac{dy}{dx} = e^{4x+5y}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20e%5E%7B4x%2B5y%7D)
We know that for any real number a, m, n,
![a^{m + n} = a^m \times a^n](https://tex.z-dn.net/?f=a%5E%7Bm%20%2B%20n%7D%20%3D%20a%5Em%20%5Ctimes%20a%5En)
⇒ dy/dx =
× ![e^{5y}](https://tex.z-dn.net/?f=e%5E%7B5y%7D)
Separating the variables (x and its differential in one side and y and its differential in another side )
⇒
dy =
dx
⇒
dy =
dx
Integrating on both the sides,
⇒
dy =
dx
We know that, ![\int e^{ax}\, dx=\frac{e^{ax}}{a} +C](https://tex.z-dn.net/?f=%5Cint%20e%5E%7Bax%7D%5C%2C%20dx%3D%5Cfrac%7Be%5E%7Bax%7D%7D%7Ba%7D%20%2BC)
⇒
and ![\int e^{-5y}\, dy=\frac{e^{-5y}}{-5} +C](https://tex.z-dn.net/?f=%5Cint%20e%5E%7B-5y%7D%5C%2C%20dy%3D%5Cfrac%7Be%5E%7B-5y%7D%7D%7B-5%7D%20%2BC)
So the solution is,
, where c is constant of integration.
Therefore, the solution to the given differential equation
is ,
, where c is constant of integration.
Learn more about the differential equation here:
brainly.com/question/14620493
#SPJ4
The answer would be 7.4 , because if you divide 59 by 2 that's the perimeter so divide that by 4 and round it. That should be the answer.
Answer:
$500
Step-by-step explanation:
substitute the values for X & S in the equation from part A:
y=20x + 0.15s
x=($20x25) + (0.15x$0)
= $500