§9.2 Differential Equation
Contents
- §9.2(i) Airy’s Equation
- §9.2(ii) Initial Values
- §9.2(iii) Numerically Satisfactory Pairs of Solutions
- §9.2(iv) Wronskians
- §9.2(v) Connection Formulas
- §9.2(vi) Riccati Form of Differential Equation
§9.2(i) Airy’s Equation
9.2.1
All solutions are entire functions of .
Standard solutions are:
9.2.2
§9.2(ii) Initial Values
9.2.3
9.2.4
9.2.5
9.2.6
§9.2(iii) Numerically Satisfactory Pairs of Solutions
Table 9.2.1 lists numerically satisfactory pairs of solutions of (9.2.1) for the stated intervals or regions; compare §2.7(iv).
Pair | Interval or Region |
---|---|
§9.2(iv) Wronskians
9.2.7
9.2.8
9.2.9
§9.2(v) Connection Formulas
9.2.10
9.2.11
9.2.12
9.2.13
9.2.14
9.2.15