decide if the given statement is true or false,and give a brief justification for your answer.If true, you can quote a relevant definition or theorem  . If false,provide an example,illustration,or brief explanation of why the statement is false. Q) Apointx =x0 is a regular singular point of the differential equation y′′+ P(x)y′+ Q(x)y = 0 provided that P(x) and Q(x) are not analytic at x = x0, but (x−x0)P(x)and(x−x0)Q(x)are analytic at x =x0.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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decide if the given statement is true or false,and give a brief justification for your answer.If true, you can quote a relevant definition or theorem  . If false,provide an example,illustration,or brief explanation of why the statement is false.

Q) Apointx =x0 is a regular singular point of the differential equation y′′+ P(x)y′+ Q(x)y = 0 provided that P(x) and Q(x) are not analytic at x = x0, but (x−x0)P(x)and(x−x0)Q(x)are analytic at x =x0.

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