Examples For Second Order Differential Equations
In this case the equation above is reduced to:
One distinguishes the following cases:
- Point a is an ordinary point when functions p1(x) and p0(x) are analytic at x = a.
- Point a is a regular singular point if p1(x) has a pole up to order 1 at x = a and p0 has a pole of order up to 2 at x = a.
- Otherwise point a is an irregular singular point.
Listed below are several examples from ordinary differential equations from mathematical physics that have singular points and known solutions.
Read more about this topic: Regular Singular Point
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