The point x = 0 is a regular singular point of the given differential equation. 9 + (x² - 12/13 ) y = 0 Show that the indicial roots r of the singularity do not differ by an integer. (List the indicial roots below as a comma-separated list.) r= x²y" + xy' + Use the method of Frobenius to obtain two linearly independent series solutions about x = 0. Form the general solution on (0, ∞). 25 Oy=C₁x-3/5(1. 25x² + ...) + C₂x³/5(1 - 3x² + x4 + 3328 8 448 9 x4 448 9 3328 - 5 32 + Need Help? Read It 9 3328 25 x4 + 448 + Oy = C₁x-3/5(1 3 32 O y = C₁x - 3/5(1-x². ...) + C₂x³/5(1. Oy = C₁x 3/5(1-x²- ..) + C₂x³/5(1- 3328 3 9 Oy=C₁x-3/5(1-²+2x4+...) + ₂x³/5(1-1/2+²+ 328 +²+...) 8 32 + + 448 25+... 9 x4 + 448 ...) + C₂x³/5(1-32x2² Watch It + 3x2+ 32 52+ 32 + x4 + 25 x4 +

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