Consider the variable-coefficient linear ODE a(x)y" +b(x)y' + c(x)y=0, x > 0, where a (x), 6(x) and c(2) are polynomials

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Consider The Variable Coefficient Linear Ode A X Y B X Y C X Y 0 X 0 Where A X 6 X And C 2 Are Polynomials 1 (62.25 KiB) Viewed 23 times

Consider the variable-coefficient linear ODE a(x)y" +b(x)y' + c(x)y=0, x > 0, where a (x), 6(x) and c(2) are polynomials. Suppose the ODE has a regular singular point at x = 0. Substituting the Frobenius series ох Y = amim m=0 into the ODE gives 3 amlm +1)(m + -- 1)ąm+r – 6 į am(m + y)2m+r. +12 amxm+r amxm+r+1 = 0. m=0 m=0 m=0 m=0 Enter the roots of the indicial equation, separated by a comma. r =