Frobenius method

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Frobenius method

[frō′ben·yu̇s ‚meth·əd]
(mathematics)
A method of finding a series solution near a point for a linear homogeneous ordinary differential equation.
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Then the method of Frobenius gives the indicial equation for the term [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
Build a program to find the indicial equation and to solve it, in the case of solutions with power series in the neighborhood of a singular regular point of differential equations in the form:
Use the program to calculate the roots of the indicial equation for the differential equation [2.
The indicial equation is determined by means of the equation F(r) = r(r - 1) + [p.
3) we have F(r)=0, which is the indicial equation already treated in the previous task.
where "ra1" is one of the roots of indicial equation.
Notice that the program should be applied twice, once for each root of the indicial equation.