Answer:

Step-by-step explanation:




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<u>hope it helps...</u>
<u>have a great day!!</u>
If the given differential equation is

then multiply both sides by
:

The left side is the derivative of a product,
![\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%5Csin%28x%29y%5Cright%5D%20%3D%20%5Csec%5E2%28x%29)
Integrate both sides with respect to
, recalling that
:
![\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%5Csin%28x%29y%5Cright%5D%20%5C%2C%20dx%20%3D%20%5Cint%20%5Csec%5E2%28x%29%20%5C%2C%20dx)

Solve for
:
.
Hmm idk if this is what you need, but here we go: Amy is 5 years older than her brother, John. Her age is 19. How old is John?
x-John
x+5=19
x=19-5=14
John is 14.
The answer would be 10.976.
Answer:
1. 4
2. y = 4x
Step-by-step explanation:
1.
Divide any y value by its corresponding x value to find the constant of proportionality.
8/2 = 4
Constant of proportionality: 4
2.
Equation of proportional relation:
y = kx, where k is the constant of proportionality.
y = 4x