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Meet aem classification of singularities
1. Subject :- AEM (2130002)
Topic :-classification of singularities (example)
•Made By :-
-Meet patel_150990119032
•Guided By :-
-Mr. jaydipsinh rathod
2. • Classify the singular points of the differential
equation
• Ans:-
• At singular points,
• Hence x=0 is a singular point.
• Dividing the equation by
3. • Comparing with the standard form,
• are both analytic. At
x=0, it is a regular singular point.
4. • Classify the singular points of the equation
• Ans:-
• At singular points,
• Hence x=0 & x=2 are singular points
• Dividing the eq. by
5. • Comparing with the standard form,
For x=0,
Since is not analytic at x=0,it is an
irregular singular point of the eq.
6. • For x=2.
• Since & both are
analytic at x=2, it is an regular singular point
of the eq.