First Order ODEs Symbolically

The types of ODEs that have symbolic solutions are actually in the minority. However they are used in many applications, often because we can solve them. Unfortunately these solutions do not always provide useful insights in their symbolic (i.e, equation) form. We can use MATLAB to plot graphical representations of first order ODE solutions. We will concentrate on plotting and comparing slopefields, symbolic solutions, and numerical solutions (via MATLAB's ODE45 solver).