Introduction the the RungeKutta Order Four Method by Example with Mathematica Code

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The Runge-Kutta Order Four Method (RK4 Method) for approximating solutions of initial-value problems of ordinary differential equations is the most common numerical method used. The change in the function is approximated by the step size h=Δt times a weighted average of four slopes at different locations in the slope field for dy/dt = f(t,y). We use this for the example dy/dt = f(t,y) = 12-4y/(10+2t), y(0)=200. We also show Wolfram Mathematica code. 🔴 Burden, Faires, Burden Numerical Analysis : https://amzn.to/3DBvCWn • Numerical Analysis, Class 25B • #RungeKutta #RungeKuttaMethod #NumericalAnalysis #DifferentialEquations • Links and resources • =============================== • 🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinn... • 🔴 Subscribe to my Math Blog, Infinity is Really Big: https://infinityisreallybig.com/ • 🔴 Follow me on Twitter: / billkinneymath • 🔴 Follow me on Instagram: / billkinneymath • 🔴 You can support me by buying Infinite Powers, How Calculus Reveals the Secrets of the Universe , by Steven Strogatz, or anything else you want to buy, starting from this link: https://amzn.to/3eXEmuA. • 🔴 Check out my artist son Tyler Kinney's website: https://www.tylertkinney.co/ • 🔴 Desiring God website: https://www.desiringgod.org/ • • AMAZON ASSOCIATE • As an Amazon Associate I earn from qualifying purchases.

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