MATH 102 Lecture : Math 102 Chapter 11

• School: UBC
• Department: Mathematics
• Course: MATH 102
• Professor: Elyse Yeager

Document Summary

Differential equation : mathematical function, relates one /more. For growth & decay derivatives of some function to itself y = 1-1 7 = ex satisfies. = ex = y so /y=e to de solution satisfies dy = keek" y=e" / a function that equation satisfies the y= for any c > 0. = y if k > 0 it will " grow " as time passes tf keo it will decay as time passes yn y = ekt. I -1 yn y=ekt infinitely many functions can be valid solutions to a de ex . y = ce solves. / = ky y for any c > 0 need additional info to distinguish one specific solution. Need an initial solution ex . y/ 01=3 initial valve y / = y de only one function that satisfies de y 1-11=3 et f from y= cet y /01 = ce# = c =3. Nlt) : # of individuals at time +