Feb 7, 2005 · Could someone show me how to find the indicial equation and the indicies relative to any regular singular point of the Legendre equation: (1 - z^2)w'' - 2zw' + kw = 0 Thank you.

In each of Problems 1 through 6: a. Show that the given differential equation has a regular singular point at x0. b. Determine the indicial equation, the recurrence relation, and the roots of …

The point x = 0 is a regular singular point of the differential equation. 1 x? X + - y = 0. 4 Use the general form of the indicial equation (14) in Section 6.3 r (r – 1) + ao r + bo = 0 (14) to find the …

Question: (a) Show that the given differential equation has a regular singular point at = (b) Determine the indicial equation, the recurrence relation, and the roots of the indicial equation. …

Question: The point x = 0 is a regular singular point of the differential equation. xy'' + y' + 11y = 0 Use the general form of the indicial equation (14) in Section 6.3 r (r − 1) + a0 r + b0 = 0 (14) to …

(List the indicial roots below as a comma-separated list.)r=Without solving, discuss the number of series solutions you would expect to The point x = 0 is a regular singular point of the …

In each of Problems 1 through 6: a.Show that the given differential equation has a regular singular point at x = 0. b.Determine the indicial equation, the recurrence relation, and the roots of the …

Consider the differential equation 4x2y" - 4x2y' (1 2x)y 0. Show that the indicial equation has only one root and find the corresponding Frobenius series solution.

Consider the differential equation x 2 y′′ + x (1−x)y′ − xy = 0 a. Show that x 0 =0 is a regular singular point. b. Determine the indicial equation, the recurrence relation, and the roots of the …

In each of Problems 1 through 6 : a. Show that the given differential equation has a regular singular point at x=0. b. Determine the indicial equation, the recurrence relation, and the roots …