Assignment:
Determine the order of each differential equation, and whether or not the given functions are solutions of that equation on some interval of x values.
(a) (y')^2 = 4y; Y1 = X2, Y2 = 2X2 , Y3 = e-x
(b) Y" +9y =0; Y1= 4sin3X, Y2 = 6sin(3X+2)
Provide complete and step by step solution for the question and show calculations and use formulas.