On this differential equation I was asked to find a particular solution with y= 4 and x= 0. Which I did, now I have to find the explicit form of that particular solution.

Here is the question and my answer:

Find the explicit form of this particular solution.

y-1/2 = (2+sin x)-1 + 3/8

The explicit solution is obtained by makingythe subject of the equation

y= (2 + sin x)^1/2 +3/8

I multiplied -1/2 both side