Without actually solving the given differential equation, find the minimum radius of convergence R of power series solutions about the ordinary point x = 0. About the ordinary point x = 1. (x^2 - 2x + 65)y'' + xy' - 4y = 0?
Added by Kathryn S.
Step 1
To do this, we look at the coefficients of the derivatives and find the values of x for which these coefficients become infinite or undefined. The given differential equation is: $$(x^2 - 2x + 65)y'' + xy' - 4y = 0$$ The coefficient of $y''$ is $(x^2 - 2x + Show more…
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