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List of Posts
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ODEs 3-8: Regular Singular Points, Frobenius Solution (Part 2)
The case when the indicial equation for a regular singular point has roots differed by an integer.
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ODEs 3-7: Regular Singular Points, Frobenius Solution (Part 1)
Try the Frobenius solution \( y = x^{m}(a_0 + a_1x + a_2x^2 + \cdots) \) for regular singular points.
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ODEs 3-6: Oscillation, Airy Equation/Functions (Part 2)
Solving the Airy Equation and deriving the (properties of) Airy Functions.
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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 \( y = a_0 + a_1x + a_2x^2 + \cdots \), 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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I’m Benjamin
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