Answer:
[tex]dy/dx+2sin(x-y)=0[/tex]
so whether the given equation is separable or not
[tex]dy/dx= -2sin(x-y)[/tex]
the given equation is not separable because the argument inside the function is dependent on both x and y
even though we use the formula to open the sin(A-B) we would still get the function dependent on both x and y and the equation would get complicated so instead use any other method.
