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Important of indicial equation in frobenius method ????? |
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Answer» In mathematics, the method of Frobenius, named after Ferdinand Georg Frobenius, is a WAY to find an INFINITE series solution for a second-order ordinary differential EQUATION of the form in the vicinity of the regular singular point {\displaystyle z=0}z=0. One can divide by {\displaystyle z^{2}}z^2 to obtain a differential equation of the form which will not be solvable with regular power series methods if either p(z)/z or q(z)/Z2 are not analytic at z = 0. The Frobenius method enables one to create a power series solution to such a differential equation, provided that p(z) and q(z) are themselves analytic at 0 or, being analytic elsewhere, both their LIMITS at 0 exist (and are finite). #RadheRadhe# |
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