- #1
Substance D
- 49
- 0
Hello,
I am trying to understand the definition of regular point, regular singular point and irregular point
for example, the ode. what would be the r,rs or i points of this?
x^3y'''(x)+3x^2y''(x)+4xy(x)=0
dividing gives the standard form
y''+(3/x)y' + (4/x^2)y=0
So, obviously x can't equal zero, does that make x a regular singular point because x=0 gives rise to a singularity? If so, what does "regular" mean?
Thanks,
David
I am trying to understand the definition of regular point, regular singular point and irregular point
for example, the ode. what would be the r,rs or i points of this?
x^3y'''(x)+3x^2y''(x)+4xy(x)=0
dividing gives the standard form
y''+(3/x)y' + (4/x^2)y=0
So, obviously x can't equal zero, does that make x a regular singular point because x=0 gives rise to a singularity? If so, what does "regular" mean?
Thanks,
David