MTH401 Differential Equations Assignment No 4 Solution Fall Semester 2012

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MTH401 Differential Equations Assignment No 4 Solution Fall Semester 2012


Question#1 Marks 15

Solve the following initial value problem using a power series representation of the solution around. Find the recurrence relation and the first five nonzero terms of the series solution.

Question#2 Marks 15

Suppose the differential equation

Find the ordinary points and the singular points of the above differential equation.
Classify each singular point you find in 1. as a regular singular point or an irregular singular point.
It is desired to solve this equation using a power series centered at 7. Find the radius of convergence of such a power series.