Why Exponential Growth?? Intro to Separable Differential Equations скачать в хорошем качестве

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