video1.0<iframe src="https://www.loom.com/embed/755a2f54e7304442baccb21b096419dc" frameborder="0" width="1838" height="1378" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>13781838Loomhttps://www.loom.com13781838https://cdn.loom.com/sessions/thumbnails/755a2f54e7304442baccb21b096419dc-7f0753dbbe18a342.gif2931.433333I walk through several June 2019 second order differential equation questions and show how to get the general solution using auxiliary equations with complex roots. Then I find constants from boundary conditions and solve for quantities like maximum vertical displacement, maximum concentration, and vertical height after given time, using dH dt or dX dt equals 0 for turning points. I also comment on model suitability for large t and determine whether a second antibiotic dose is safe by checking x less than 5. There was no action requested from viewers.