1. Consider y'{I) = W12 + I?)- [a) Draw a. direction eld of the following differential equation ill the rectangular region 1 E :1: g l and l S y g l and plot some integral curve; (1]) Determine if the solution is increasing or decreasing at (1'... y) : (0.0.5). 2. Consider an initial value problem 1 m. 9(0) 2 0.5. MI) = (a) Draw a direction eld of the following differential equation in the rectangular region 0 E :t: <_ and :y g plot the mlution to initial value problem problems exercises>