Newton's Law of Cooling // Separable ODE Example

MY DIFFERENTIAL EQUATIONS PLAYLIST: ►   • Ordinary Differential Equations (ODEs)  
Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs

How can we model the change in temperature of an object, like a cup of tea? In this video we explore Newton's Law of Cooling, which is a separable differential equation. We are going to do a bit of experimental data collection (measuring the temps of my coffee mug) along the way to see how good the model is. To solve this ODE we use the method of separation of variables. However, because there are multiple constants involved, we need to record temperatures at at least two different times to be able to solve for them.

OTHER COURSE PLAYLISTS:
►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Log...  
►LINEAR ALGEBRA:    • Linear Algebra (Full Course)  
►CALCULUS I:    • Calculus I (Limits, Derivative, Integ...  
► CALCULUS II:    • Calculus II (Integration Methods, Ser...  
►MULTIVARIABLE CALCULUS (Calc III):    • Calculus III: Multivariable Calculus ...  
►VECTOR CALCULUS (Calc IV)    • Calculus IV: Vector Calculus (Line In...  
►LAPLACE TRANSFORM:    • How to solve ODEs with infinite serie...  

OTHER PLAYLISTS:
► Learning Math Series
   • 5 Tips To Make Math Practice Problems...  
►Cool Math Series:
   • Cool Math Series  

BECOME A MEMBER:
►Join:    / @drtrefor  

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

SOCIALS:
►Twitter (math based):   / treforbazett  
►Instagram (photography based):   / treforphotography