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

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Consider The Variable Coefficient Linear Ode A X Y B X Y C X Y 0 X 0 Where A Z B X And C X Are Polynomial 1 (41.67 KiB) Viewed 32 times

Consider the variable-coefficient linear ODE a(x)y"' +b(x)y' +c(x)y=0, x > 0, = where a(z), b(x) and c(x) are polynomials. Suppose the ODE has a regular singular point at x = 0. Substituting the Frobenius series Y=" IM: amem m=0 into the ODE gives ~ am(m+r)(m+r – 1)zm+" +2 am(m+r)æmtr – 20 į amxm+r – 4 į amam+r+1 + = 0. m=0 m=0 m=0 m=0 Enter the roots of the indicial equation, separated by a comma. r=