Hi! I'm having a lot of trouble solving the following ODE:(adsbygoogle = window.adsbygoogle || []).push({});

dx/dt = A - B*sin(x)

where A and B are constants. My ODE skills are a bit rusty, and I wasn't able to find anything on the Internet that could help me, so could someone please show me how to solve for x in terms of t?

I've tried rearranging the equation to get:

x = At - B ∫[itex]\frac{sin(x)}{A-B*sin(x)}[/itex] dx

and I tried solving that and I got a very complicated expression involving inverse tan, which I am not sure is correct. I don't want to do it this way by direct integration if there is a much easier way to solve the ODE. But if there isn't, then :grumpy:.

Thanks a lot!!

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# First Order Non-Linear ODE

**Physics Forums | Science Articles, Homework Help, Discussion**