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Professor Leonard

Professor Leonard is Brandon Leonard, a math educator whose free, full-length YouTube lectures guide learners from prealgebra through calculus, statistics and differential equations.

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Professor Leonard

Putting Euler’s method to work

A new Differential Equations lesson explores how to use Euler’s method to approximate solutions to first-order differential equations.

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Professor Leonard

An introduction to Euler’s method

Lesson 41 introduces numerical approximation for differential equations that cannot be solved explicitly, laying the groundwork for further methods.

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Professor Leonard

More motion with resistance

Differential Equations 40 studies acceleration proportional to the square of velocity, including a discussion of inverse hyperbolic tangent.

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Professor Leonard

Acceleration, velocity and resistance

Differential Equations 39 examines cases where acceleration is proportional to velocity or inversely proportional to velocity.

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Professor Leonard

A fresh approach to Bernoulli equations

He adds lesson 24.5 to his Differential Equations series, showing a technique that puts Bernoulli equations into an embedded-derivative form.

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