Verify that the indicated function y = p(x) is an explicit solution of the given first-order differential equation. 2y=y3 cos(x); y = (1 - sin(x))-1/2 When y = (1-sin(x))-1/2, 2y= Thus, in terms of x, y cos(x) = Since the left and right hand sides of the differential equation are equal when (1 - sin(x))-1/2 is substituted for y, y = (1-sin(x))-1/2 is a solution.