The function y satisfies a differential equation of the form y' = ky for some number k. if you are told that when t = 3 that y is 2 and the rate of change of y is 4 then what is k?

The value of is 2.

In this case we have an ordinary linear differential equation with separable variables:

(1)

If we know that and , then the value of is:

The value of is 2.

We kindly invite to check to this question on differential equations: link

is a separable ODE:

Integrating both sides and solving for , we get

Given that , we know

We also have

and given that , we know

Then

So it must the case that .

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)

where are the images of the functions i can only see the question you typed.

step-by-step explanation: