Consider the ordinary differential equation 2220y dy + 3.2 dx2 dc (1 – 5x + 9x?)y=0. (a) Show that this equation has a r

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Consider The Ordinary Differential Equation 2220y Dy 3 2 Dx2 Dc 1 5x 9x Y 0 A Show That This Equation Has A R 1 (41.65 KiB) Viewed 63 times

Consider the ordinary differential equation 2220y dy + 3.2 dx2 dc (1 – 5x + 9x?)y=0. (a) Show that this equation has a regular singular point at x = 0. {3} (b) Find the indicial equation for a Frobenius series solution of this equation, expanding around the point x = 0. Show that one of its roots is 1 = -1 and find the other root, which is not an integer. {8} (c) Show that for the root X -1, the first two coefficients in the series solution must obey a1 = { 5ao {5}. ci