{"type":"video","version":"1.0","html":"<iframe src=\"https://www.loom.com/embed/755a2f54e7304442baccb21b096419dc\" frameborder=\"0\" width=\"1838\" height=\"1378\" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>","height":1378,"width":1838,"provider_name":"Loom","provider_url":"https://www.loom.com","thumbnail_height":1378,"thumbnail_width":1838,"thumbnail_url":"https://cdn.loom.com/sessions/thumbnails/755a2f54e7304442baccb21b096419dc-7f0753dbbe18a342.gif","duration":2931.433333,"title":"9FM0 CP2 - Set 10B - 2nd Order DEs","description":"I 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."}