Seperable variables - solve differential eq

• September 13th 2008, 05:32 PM
G-man
Seperable variables - solve differential eq
Solve the differential equation. (Use C as an arbitrary constant. Give your answer using the form k - C f(x), where f(x) has been simplified.)

xy + y' = 130x
• September 13th 2008, 05:41 PM
topsquark
Quote:

Originally Posted by G-man
Solve the differential equation. (Use C as an arbitrary constant. Give your answer using the form k - C f(x), where f(x) has been simplified.)

xy + y' = 130x

So separate the variables:
$y' = -xy + 130x = x(130 - y)$

$\frac{dy}{130 - y} = x~dx$

Now integrate both sides.

-Dan
• September 14th 2008, 03:15 AM
G-man
Next Steps
Dan,

Thanks for the reply. I actually got that far, but am unsure how to get the answer in the format being requested. Any ideas on what the final answer should look like and how you get there?

Thanks