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1. In the differential equation y\"+xy\'+x^2y=0 the point x= 0 is (Points : 1) A

ID: 2969371 • Letter: 1

Question

1.

In the differential equation y"+xy'+x^2y=0 the point x=0 is

(Points : 1)

An ordinary point.

An irregular singular point.

A regular singular point.

Almost an ordinary point.

Almost a singular point.


Which of the following cannot be an interval of convergence for a power series:


A power series solution of a differential equation

Always has infinite number of nonzero terms.

Always involve elementary functions.

Converges everywhere.

Can be a finite sum.


The method of Frobenius is normally applied with

Ordinary points

Regular singular points

Irregular singular points

Points of divergence

Abnormal points

      

An ordinary point.


      

An irregular singular point.


      

A regular singular point.


      

Almost an ordinary point.


      

Almost a singular point.


Explanation / Answer

1- a

2- d -> the radius must be simetric or =0

3 - d

4- a