Question

Find the general solution for each of the following linear differential equations.

y′ +y=2
I have no clue what to do?

Answer 1

this is a linear first order differential equation

Answer 2

y'=2-y
but y'=dy/dx
therefore dy/(y-2)=-dx
integrate it to get the answer

Answer 3

a general solution will have a unknown constant let it be c

Answer 4

So I just integrate dy/(y-2)=-dx ?

Answer 5

yes thats it

Answer 6

I got this y=2+Cexp(−x)from the answers does that seem right?

Answer 7

that is right

Answer 8

Thanks I appreciate the help!