Question

Determine a lower bound for the radius of convergence of series solutions about the given point x_{0} for the differential equation:

(x^{2}-2x-3)y"+xy'+4y=0

- x
_{0}=4 - x
_{0}=0

Step 1

*Given:*

The differential equation is (x^{2}-2x-3)y”+xy’+4y=0

Step 2

*Calculation:*

Rewrite the given equation as follows.

Step 3

The lower bound of the given function is the minimum distance from r1, r2 and *x*0, where r1 and r2 are the zeros of the given ...

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