a) Determine if x 0 = 0 is an ordinary or a singular point. If it is a singular point, determine if it is a regular or an irregular singular point. b) Based on your results in (a), use the appropriate...

a) Determine if x₀ = 0 is an ordinary or a singular point. If it is a singular point, determine if it
is a regular or an irregular singular point.

b) Based on your results in (a), use the appropriate method to determine two linearly
independent series solutions about x₀ = 0. Indicate, the indicial equation, the root(s) of the
indicial equation, and the recurrence relation, where applicable. Use formula (Eqn. a) where Q & P are from P y''+Q y'' +Ry=0 to determine its second series solution. Hint: substitute series for e^-x.

Extracted text: = y1 S*elidk), Q and P are from Py" + Qy' + Ry = 0. (Eqn. a) y2


Extracted text: x?y" + x(1 + x)y' – 3(3 + x)y = 0