MAT136H1 Lecture Notes - Initial Condition, Differential Equation, Restoring Force

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Differential equation: contains an unknown function and one or more of its derivative. Rate of population growth: based on the assumption that population growth rate is proportional to the population size. Restoring force: , where k is a positive constant and is the length stretched from its natural length. Differential equation contains unknown function and one or more of its derivative. The order of differential equation is the order of the highest derivative contained in the equation. And these equations contain an independent variable , usually denoting time but not always. A function is a solution to the differential equation if it satisfies the equation when substituted. When asked to solve differential equation, find all possible solutions to the equation. Initial condition is the starting point like ( ) where ( )