Separable First Order Differential Equations

Learn how to solve separable first order differential equations, with 3 full worked examples — including how to find both the general solution and the particular solution using an initial condition. 📐 ∫ (1/g(y)) dy = ∫ f(x) dx ⏱️ Timestamps: 0:00 – Example 1: dy/dx = x²/y², separating and integrating 4:20 – Applying the initial condition y(1) = 2 7:30 – Example 2: y' = xy with y(0) = 5 13:00 – Solving for the constant using eᶜ 16:30 – Example 3: dy/(y²+1) = dx (involves arctan) 21:00 – Applying y(1) = 0 & final answer Yusuf holds a master's degree in mathematics from the University of Cape Town (UCT), with more than 15 years of experience teaching mathematics to primary, high school, and university students. This channel is set up with the aim of making maths make sense — fun, simple, and educational, with tricks, methods, and interesting concepts. Looking for the integrating factor method instead? Watch that here: [   • First Order Linear Differential Equations  ] Please subscribe, like, share, and follow me on this journey. Let's build a community of maths gurus! #DifferentialEquations #Calculus #SeparableEquations #LearnMaths #MathsWithYusuf