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,

i'm not sure i quite understand, could you provide more information?

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation: