Solving the logistic equation @drpeyam

Uploaded April 2023 | Updated September 2026, 1 week ago

Solving the logistic equation. What does the fox say? Here I solve a differential equation using separation of variables and partial fractions and integrals. It models the population of bunnies but with a limited factor. It gives a surprisingly good model approximation of populations like in Belgium. Enjoy this calculus adventure

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$Solving the logistic equation Solving the logistic equation. What does the fox say? Here I solve a differential equation using separation of variables and partial fractions and integrals. It models the population of bunnies but with a limited factor. It gives a surprisingly good model approximation of populations like in Belgium. Enjoy this calculus adventure Subscribe to my channel: https://youtube.com/drpeyam TikTok: https://www.tiktok.com/@drpeyam Instagram: https://www.instagram.com/peyamstagram/ Twitter: https://twitter.com/drpeyam Teespring merch: https://teespring.com/stores/dr-peyam$

$Half integral of x Defining the half integral, which is halfway between a function and its integral. Done by analogy with half derivatives, by finding formulas for the derivatives of power functions. It uses the factorial which is then generalized to the gamma function with Gaussian integrals. I also mention trig functions and applications to broken processes. This is a delight for any calculus student or anyone who is interested in fractional derivatives. 0:00 Introduction 0:30 Analogy 2:58 Gamma Function 5:00 Half integral of x 9:37 Properties and Applications Half Derivative: https://youtu.be/gaAhCTDc6oA YT channel: https://youtube.com/drpeyam TikTok channel: https://www.tiktok.com/@drpeyam Instagram: https://www.instagram.com/peyamstagram/ Twitter: https://twitter.com/drpeyam Teespring merch: https://teespring.com/stores/dr-peyam$

the outstanding Laplace method for solving systems of ode