Q1. (a)What are the salient features of Regular Singular point and Irregular Signular point of Differential Equation (DE). Determine the singular points of the following DE. Hence classify each singular point as regular or irregular. (x* —х-6) у'- (х-3)у - (х+2)у-0. (b)For the signular point x = 0 of the DE: x(1-x)y" – 3xy' – y= 0, use the method of Frobenius to obtain two linearly independent series solutions.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Q1. (a)What are the salient features of Regular Singular point and Irregular Signular point of
Differential Equation (DE). Determine the singular points of the following DE. Hence
classify each singular point as regular or irregular.
(x*-
-х-6) у'- (х-3)У - (х+2)у%3D0.
(b)For the signular point x = 0 of the DE: x(1-x)y" – 3xy' – y =0, use the method of
Frobenius to obtain two linearly independent series solutions.
Transcribed Image Text:Q1. (a)What are the salient features of Regular Singular point and Irregular Signular point of Differential Equation (DE). Determine the singular points of the following DE. Hence classify each singular point as regular or irregular. (x*- -х-6) у'- (х-3)У - (х+2)у%3D0. (b)For the signular point x = 0 of the DE: x(1-x)y" – 3xy' – y =0, use the method of Frobenius to obtain two linearly independent series solutions.
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