Question

Can someone please help me and go through the steps to solve this DE?
dy/dt=20.4-0.0139y

Answer 1

taking derivative of this?

Answer 2

Are you familiar with the separation of variables method?

Answer 3

yes

Answer 4

You can apply that here.

Answer 5

Divide both sides by dy and take the reciprocal of both sides.

Answer 6

can i multiply by dt then divide dy by (20.4-0.0139y)?

Answer 7

Yes exact same outcome.

Answer 8

make 20.4 - 0.139 as u, find du , then put it outside the integral and solve for both sides. I'm assuming you're integrating?

Answer 9

You should now have: