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.

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

Math,Solution,Example,Exponential Growth,Epidemics,Separable,Separation of Variables,ODE,IVP,Solve,Integrate,rate of change,