Singularity and Radius of Convergence
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4. Determine two independent power series solution of the differential equation:
See attachment for equation
Find the radius of convergence of the series.
5. Determine a solution of the differential equation:
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Solution Summary
This solution shows how to solve problems related to singularity and convergence radius.
Solution Preview
Please see the attachment for the full equations.
Theorem:
Let x_0 be an ordinary point of the differential equation
L(y) = y'' + p(t)y' + q(t)y = 0
Then the general solution can be represented by the power series
where a_0 and ...
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