1. Math
  2. Calculus
  3. consider the differential equation 2xyquot 1 xy ...

Question: consider the differential equation 2xyquot 1 xy ...

Question details

Consider the differential equation, Note that z 0 is a regular singular point. If you were to look for a series solution about zo 0, of the form then the indicial equation is given by (2 r-1) The difference of the roots is not an integer, and so one can obtain two linearly independent solutions of the given form for each root of the indicial equation The recurrence formula for the coefficients off the solution with the larger root is given by: an-1, n 2 1 Taking ao 1, the first 3 terms of a particular solution is: 3
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