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

  1. Jan 5, 2014 #1
    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.

    A method to graph an integral line for the solution would be appreciated if there is no exact solution
    Last edited: Jan 5, 2014
  2. jcsd
  3. Jan 5, 2014 #2


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    If c and k are independent of y it is separable

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