Why Exponential Growth?? Intro to Separable Differential Equations

Epidemics initially have exponential growth. So does money invested in a bank account compounded continuously. Why? In this introduction to differential equations we study the ODE y'=ky. This is an example of a separable differential equation, and it's solution is exponential growth. This equation is reasonable for a simple model of things like the early days of an epidemic because the growth rate is proportional to the current size, y'=ky. After solving this equation by the method of separation of variables we turn to the general procedure for separable equations.

Want more differential equations? Check out the playlist here:    • Laplace Transforms and Solving ODEs  


****************************************************
Other Course Playlists:

►CALCULUS I:    • Calculus I (Limits, Derivative, Integrals)...  

► CALCULUS II:    • Calculus II (Integration Methods, Series, ...  

►MULTIVARIABLE CALCULUS III:    • Calculus III: Multivariable Calculus (Vect...  

►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Logic, P...  

►LINEAR ALGEBRA:    • Linear Algebra (Full Course)  

***************************************************

► Want to learn math effectively? Check out my "Learning Math" Series:
   • 5 Tips To Make Math Practice Problems Actu...  


►Want some cool math? Check out my "Cool Math" Series:
   • Cool Math Series  

****************************************************
►Follow me on Twitter:   / treforbazett  

*****************************************************

This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.

BECOME A MEMBER:
►Join:    / @drtrefor  

MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett