Answer: The required solution is 
Step-by-step explanation:
We are given to solve the following differential equation :
where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.
From equation (i), we have
Integrating both sides, we get
![\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]](https://tex.z-dn.net/?f=%5Cint%5Cdfrac%7Bdy%7D%7By%7D%3D%5Cint%20kdt%5C%5C%5C%5C%5CRightarrow%20%5Clog%20y%3Dkt%2Bc~~~~~~%5B%5Ctextup%7Bc%20is%20a%20constant%20of%20integration%7D%5D%5C%5C%5C%5C%5CRightarrow%20y%3De%5E%7Bkt%2Bc%7D%5C%5C%5C%5C%5CRightarrow%20y%3Dae%5E%7Bkt%7D~~~~%5B%5Ctextup%7Bwhere%20%7Da%3De%5Ec%5Ctextup%7B%20is%20another%20constant%7D%5D)
Also, the conditions are
and
Thus, the required solution is
Y = 5x
Y is vertical axis, x is horizontal. Whatever the value of x is, y is 5 times that number
10 i think i don't know how to deleat this so can u?
Even integers are in form 2n where n is a whole number
consecutive even integers are 2 apart
2n and 2n+2
2n is 10 more than 1/2 of (2n+2)
2n=10+1/2(2n+2)
2n=10+n+1
2n=11+n
minus n both sides
n=11
2n=22
2n+2=24
the numbers are 22 and 24
Answer:
See below
Step-by-step explanation:
32. w + 5 = -20
w = -20 - 5
w = - 25
33. x - 17 = -32
x = -32 + 17
x = - 15
34. t + 7.2 = 1.65
t = 1.65 - 7.2
t = - 5.55
35. -0.4 = g - 4.9
g = - 0.4 + 4.9
g = 4.5
36. y - 2/5 = 1 3/5
y = 1 3/5 + 2/5
y = 1 5/5 or 2
37. -5 1/6 = 2 1/3 + p
p = - 5 1/6 - 2 1/3 convert 1/3 to x/6 for a common denominator
1/3 converts to 2/6
p = -5 1/6 - 2 2/6
p = - 7 3/6 or - 7 1/2
38. You were given that
Simone = $65.35 + Dan
Simone = Carly - 37.50
Carly = 127.75
So Simone = 127.75 - 37.50 = 90.25
Simone = 65.35 + Dan or Dan = Simone - 65.35
Dan = 90.25 - 65.35 = 24.90
