Q) The question is for me to sketch the graph of x(t) for different initial conditions.

dx/dt = sqrt(3) - 2sin(x)

A) i cant see how this is separable variables or integrating factor method.

So do I do: x(t) = sqrt(3)t - 2tsin(x) + C

Saying x = x0 at t=0 just gives me c = x0

Does this look correct?

Thanks