Question

Solve the Equation:
(dy/dx)= e^(x+y)/(y-1)
I am positive this is a separable equation

Answer 1

are you just trying to find the derivative of that function?

Answer 2

You know e^(x+y) can be written as e^x*e^y

Answer 3

\[\frac{dy}{dx}=e^x \cdot \frac{e^y}{y-1}\]

Answer 4

do you see how it is separable now? :)

Answer 5

I tried that and then I had issues integrating it. The dy part not the dx, I can do dx. Would I use integration by parts for dy?

Answer 6

yes

Answer 7

You know you can write (y-1)/e^y as (y-1)*e^{-y}?

Answer 8

alrighty I will try that
and yes I know :)

Answer 9

I got (-y/e^y)-e^x=c

Answer 10

that looks good

Answer 11

you can also write it without all of negatives
y/e^y+e^x=-c

or
y/e^y+e^x=C <--

Answer 12

alrighty thank you!

Answer 13

np