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MY DIFFERENTIAL EQUATIONS PLAYLIST: ► • Ordinary Differential Equations (ODEs) Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs In this video we talk about our first major method for solving differential equations: the method of separation of variables. A first order ODE is separable if it can be written as y'=f(t)g(y), that is a product of two factors that each only depend on one of the variables. If that is the case, then we can separate and integrate. We're going to see in this video the first core example of exponential growth before jumping to a more complicated example which has an implicit solution and singular solutions ♡♡♡SUPPORT THE CHANNEL♡♡♡ ►Support on PATREON: / drtrefor ►MATH BOOKS I LOVE (affiliate link): https://www.amazon.com/shop/treforbazett ►CURIOSITY BOX: https://www.CuriosityBox.com/DrTrefor use CODE drtrefor for 25% off awesome STEM merch boxes 0:00 Exponential Growth 3:55 Separation of Variables 6:00 2nd Example 7:54 Singular Solution COURSE PLAYLISTS: ►DISCRETE MATH: • Discrete Math (Full Course: Sets, Logic, P... ►LINEAR ALGEBRA: • Linear Algebra (Full Course) ►CALCULUS I: • Calculus I (Limits, Derivative, Integrals)... ►CALCULUS II: • Calculus II (Integration Methods, Series, ... ►MULTIVARIABLE CALCULUS (Calc III): • Calculus III: Multivariable Calculus (Vect... ►VECTOR CALCULUS (Calc IV): • Calculus IV: Vector Calculus (Line Integra... ►DIFFERENTIAL EQUATIONS: • Ordinary Differential Equations (ODEs) ►LAPLACE TRANSFORM: • Laplace Transforms and Solving ODEs ►GAME THEORY: • Game Theory OTHER PLAYLISTS: ►Cool Math Series: • Cool Math Series ►Learning Math Series: • 5 Tips To Make Math Practice Problems Actu... ►LaTeX: • Intro to LaTeX **Full Tutorial** Part II ... SOCIALS: ►X/Twitter: http://X.com/treforbazett ►TikTok: / drtrefor ►Instagram (photography based): / treforphotography