This in my opinion should be easy. I'm just not sure why it isn't.
The question reads,
Consider the initivial Value problem dy/dx = sin(y)
subject to Initial conditions y(X)=Y
Where X and Y are constants.
It asks us to determine the ODE's isoclines and sketch its direction field in the range x betwen [-2,2]
I normally breeze through IVP problems. But this one has me confused
normally you set y'=c a constant, to set against constant slopes
then re-arrange to leave yiso= a function
but in this case c=sin(y)
which can't be what we want is it?