(I'm going to translate y' to dy/dx as it makes it easier to read for me, you could change it back if you wanted.)



(separate the variables)


(by letting c = ln k and using log laws)

(raise everything to power e)

(applying boundary conditions)
Particular solution:
Answer:
f(x)=290+30x
Step-by-step explanation:
the 290 is for the money initially put in, the 30 is for the thirty dollars, and the x represents the number of weeks.
A
to calculate the slope m , use the ' gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (5, 4)
m =
=
→ A
Answer:
2.
r + 7 = 13
r = 13 - 7
r = 6
4.
12 - c = 3
-c = 3 - 12
-c = -9
c = 9
6.
5 + x = 14
x = 14 - 5
x = 9
8.
14 - x = 0
-x = 0 - 14
-x = -14
x = 14
10.
b + 7 > 8
b > 8 - 7
b > 1
12.
m - 4 < 7
m < 7 + 4
m < 11
14.
4 + q < 13
q < 13 - 4
q < 9
16.
s + 0 < 5
s < 5
18.
h - 7 > 7
h > 7 + 7
h > 14
Step-by-step explanation:
I only answered these questions cause its only for 5 points
I know the answer but I don’t know what is happening with Brainly sorry