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In: Advanced Math

Using Power Series methods, find the recursion formula and a 6th degree polynomial approximation to the...

Using Power Series methods, find the recursion formula and a 6th degree polynomial approximation to the solution of the Initial Value Problem:

(x + 1) y ‘’ – x2 y ‘ + 3 y = 0; y(0) = 1; y ‘(0) = 0. What is the radius of convergence of the series?

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