CAS MA 226 Lecture 1: MA226 DiffEq
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A differential equation is an equation that includes a derivative. I as usually t time ) is the y dependent variable. Solution : to dlffeq is a function that makes left hand side = rhs . for all t. C t ) t ily dye = di at at. I . ) y ( t ) tic. 2 . ) yet ) kelt dye = dt dlt dt zt dadfy. Start w/ diff eq . of the form dye = ht at. , y ) ( solution ylt ) ) has dyldtlt. Initial value for all t defined dye = , y ) y ( 01 = yo ( initial condition. 08 i t ) rate out rate in vent vent. Clt amount of coz in room ( kg ) at time t. 3=2 10-6 k9/m3 ( now a damp outside air. In the room . exhaling students and decrease ventilation. I est amount of air exchanged by ventilation.