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: **************************************************** Other Course Playlists: ►CALCULUS I: ► CALCULUS II: ►MULTIVARIABLE CALCULUS III: ►DISCRETE MATH: ►LINEAR ALGEBRA: *************************************************** ► Want to learn math effectively? Check out my "Learning Math" Series: ►Want some cool math? Check out my "Cool Math" Series: **************************************************** ►Follow me on Twitter: ***************************************************** This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria. BECOME A MEMBER: ►Join: MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: