The rate of change of y is proportional to y. When t = 0, y = 4, and when t = 2, y = 8. What is the value of y when t = 3?

Solution :

Given :

The rate of change of y is proportional to y.

Therefore,

,             where k is the proportionality constant

Taking integration on both the sides,

,    where C is the integration constant

 ....................(1)

When t = 0, y = 2, so

From equation (1),

........................(2)

when t = 2, y = 4

From (2),

When t = 3,

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !