ODEs: Consider the mass spring system governed by the IVP x"+2x'+5x = 0, x(0)=1, x'(0)=0. Using the solution to the IVP, we describe the motion of the system and plot the trajectory in the phase plane. Then we use certain solutions to describe the entire phase portrait. We also note the connection to the slope field.
Dr. Bob explains ordinary differential equations, offering various examples of first and second order equations, higher order differential equations using the Wronskian determinant, Laplace transforms, and more.