verify that the indicated function y = (x) is an explicit solution of the given first-orde differential

verify that the indicated function y = Φ(x) is an explicit solution of the given first-orde differential equation. Proceed as in Example 2, by considering Φ simply as a function, give its domain. Then by considering Φ as a solution of the differential equation, give at least one interval I of definition

1. (y - x)y' = y – x + 8; y = x + 4 √(x + 2)

2. y' = 25 + y²; y = 5 tan 5x

3. y' = 2xy²; y = 1/(4 – x²)

4. 2y' = y³ cosx; y = (1 = sinx)^-1/2