How to solve an ODE in the form y' = c + k*sin(y)

  • Level: Undergrad 
  • Thread starter Thread starter AsifHirai
  • Start date Start date
  • Tags Tags
    Form Ode
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
1 reply · 2K views
AsifHirai
Messages
4
Reaction score
0
I managed to stumble upon a differential equation such as the one above while doing some torque calculations and am wondering if and how to find the solution to it.
I'm not that well versed in differential equations, so any help would be appreciated.

Edit:
A method to graph an integral line for the solution would be appreciated if there is no exact solution
 
Last edited:
Physics news on Phys.org
If c and k are independent of y it is separable

$$x+\mathrm{Constant}=\int \frac{\mathrm{d}y}{c+k \, \sin(y)}$$