Method
Consider the second-order linear differential equation
Suppose a2 is nonzero for all z. Then we can divide throughout to obtain
Suppose further that a1/a2 and a0/a2 are analytic functions.
The power series method calls for the construction of a power series solution
If a2 is zero for some z, then the Frobenius method, a variation on this method, is suited to deal with so called singular points. The method works analogously for higher order equations as well as for systems.
Read more about this topic: Power Series Solution Of Differential Equations
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