MATH UN1102 Lecture Notes - Lecture 17: Adit, Kttc, Toffee

• School: Columbia University
• Department: Mathematics
• Course: MATH UN1102
• Professor: Nathan Dowlin

Document Summary

Definition : a differential equation is an equation that involves a function and its derivatives . : use this equation to find the function. Ex ) f y ( xi =3 f ( x) One solution : f- ( x) = e3 . General solution : f ( x ) - Ext suppose the growth of a population is proportional to the size of that population with proportion k . P ( o ) = 1000 = ce. K phi a good model for population growth ? goomodepwoniensmmqyabqtingmosfappg. gg;a. tims plate at. M - - - - - - - - - P" itt = kip ith ft -ift. Definition : a differential equation is called separable if it is of the form : ddyy = glxtfy ) daff. Xy f- adit x fly dy = fxdx. E t c y t 2 y = e yeol -