Uniform Asymptotic Solutions of a Class of Second-Order Linear Differential Equations Having a Turning Point and a Regular Singularity, with an Application to Legendre Functions

1986 ◽  
Vol 17 (2) ◽  
pp. 422-450 ◽  
Author(s):  
W. G. C. Boyd ◽  
T. M. Dunster
Keyword(s):  
Differential Equations ◽  
Turning Point ◽  
Second Order ◽  
Linear Differential Equations ◽  
Asymptotic Solutions ◽  
Legendre Functions ◽  
Regular Singularity ◽  
Order Linear ◽  
Linear Differential

A mechanical method for the solution of second-order linear differential equations

1931 ◽  
Vol 27 (4) ◽  
pp. 546-552 ◽  
Author(s):  
E. C. Bullard ◽  
P. B. Moon
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Order Differential Equation ◽  
Second Order ◽  
Linear Differential Equations ◽  
Mechanical Method ◽  
Order Linear ◽  
Second Order Differential Equation ◽  
Linear Differential

A mechanical method of integrating a second-order differential equation, with any boundary conditions, is described and its applications are discussed.

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