In the differential equation y\"+xy\'+x^2y=0 the point x= 0 is A. An ordinary po

Question

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

A. An ordinary point.

B. An irregular singular point.

C. A regular singular point.

D. Almost an ordinary point.

E. 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

A. Always has infinite number of nonzero terms.

B. Always involve elementary functions.

C. Converges everywhere.

D. Can be a finite sum.

The method of Frobenius is normally applied with

A. Ordinary points

B. Regular singular points

C. Irregular singular points

D. Points of divergence

E. Abnormal points

Question 1.1.

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

(Points : 1)       

A. An ordinary point.

      

B. An irregular singular point.

      

C. A regular singular point.

      

D. Almost an ordinary point.

      

E. Almost a singular point.

Explanation / Answer

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

A. -1<x>1

The method of Frobenius is normally applied with

  

B. Regular singular points

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

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