elementary differential equation

1 . Determine the region(s) of the x-y plane for which the given D.E. would havesolutions that are unique according to the existence theorem . [2]Also, sketch the solution region .2. Use Euler’s method to approximate the solution (to four decimal places ) to the giveninitial value problem at x = 0.1, 0.2, 0.3 using steps of size 0.1 (i.e h = 0.1 ) .. [ hint : f (x, y) = y (2 – y) and ] [3]3. Find the general solution of the following homogeneous linear differential equationwith constant coefficients. [2]4. Find the particular solution of the following homogeneous linear differential equationwith constant coefficients. [3]http://www.acemyhomework.com/download.php?f=954589643.doc