Journal of Applied & Computational Mathematics

ISSN: 2168-9679

Open Access

Recurrence Relation When Solving 2nd Order Homogeneous Linear ODEs by Frobenius Method


Saad F. Shaikh*

The Frobenius method, also known as the Extended Power Series method comes into play when solving second-order homogeneous linear ODEs having variable coefficients, about a singular point. The solution is expressed in terms of infinite power series. This straightforward article is merely aimed to lucidly arrive at the recurrence relation/formula by taking proper heed of summation limits and simply manipulating them, which is probably absent in almost all research articles and books. The methodology discussed is followed by a few conspicuous and relevant observations.


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