Verify that the indicated function y = p(x) is an explicit solution of the given first-order differential equation. (y - x)y' = y - x + 2; y = x + 2 x + 4 When y = x + 2 x + 4 , y' = . Thus, in terms of x, (y - x)y' = y - x + 2 = . Since the left and right hand sides of the differential equation are equal when x + 2 x + 4 is substituted for y, y = x + 2 x + 4 is a solution. Proceed as in Example 6, by considering ?simply as a function and give its domain. (Enter your answer using interval notation.) Then by considering ?as a solution of the differential equation, give at least one interval I of definition.