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List of Posts
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ODEs 3-5: Oscillation, Airy Equation/Functions (Part 1)
Theorems about the oscillatory behavior of second-order ODEs.
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ODEs 3-4: Series Solution for Second-order ODEs, Ordinary Points (Part 2)
The special case of three-term recurrence relation in second-order constant-coefficient ODEs.
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ODEs 3-3: Series Solution for Second-order ODEs, Ordinary Points (Part 1)
Ordinary points for second-order ODEs, two-series solution.
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ODEs 3-2: Series Solution for First-order ODEs
More examples of applying the series solution technique to first-order ODEs.
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Python for Scientists 1-1: Basic Data Types and Variables
Three basic data types: Integer, Float, String, plus how to make variables.
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ODEs 3-1: Prototype of Series Solution
Sketching the idea of Series Solution, with the Error Function as the example.
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Python for Scientists 0-2: Running Your First “Hello World”
Yes, printing the classic “Hello World”.
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Python for Scientists 0-1: Setting up a Python Environment
How to set up a Python environment.
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ODEs 2-15: Higher-order Homogeneous/Isobaric Equations
Higher-order Homogeneous/Isobaric ODEs by letting \( z = y/x^m \) where \( m \) is the unit weight of \( y \).
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ODEs 2-14: Exact ODEs with Higher-order Derivatives
Exact ODEs by noticing and grouping higher-order derivative terms into a single differential.
Hello,
I’m Benjamin
Welcome to my Mathematical World! Here you can find posts and tutorials related to applied topics like Linear Algebra, Calculus, Differential Equations, as well as Programming. Feel free to leave comments and suggestions!
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