1.) (10pts) Consider the following differential equation:
(x^2)(dy/dx)=2x(sqrt(y))+(x^3)(sqrt(y))
a)Determine whether the equation is separable (S), linear (L),
autonomous (A), or non-linear (N). (An equation could be more than
one of these types.)
b)Identify the region of the plane where the Chapter 1 Existence
and Uniqueness Theorem guarantees a unique solution exists at an
initial condition (x0, y0).
2.(12pts) Consider the IVP: y'+y=y/t , y(2) = 0
For each of the functions y1(t)and y2(t)
below, decide if it is a solution...