Q5: For the differential equation below: x+3 x(x-81)y" + x². (x-3)(x² +9) (x+3) y+x (x-3)24-0 a) Determine the singular points of the given differential equation. Classify the singular point as regular or irregular. h) ise the power ries meth DE

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Q5: For the differential equation below:
x³(x-81)y"+x².
x + 3
(x-3)(x² +9)
(x+3)
y'+x
(x-3)24-0
a) Determine the singular points of the given differential equation. Classify the singular point as
regular or irregular.
b) Use the power series method to solve the DE
6
(²+1=0
Transcribed Image Text:Q5: For the differential equation below: x³(x-81)y"+x². x + 3 (x-3)(x² +9) (x+3) y'+x (x-3)24-0 a) Determine the singular points of the given differential equation. Classify the singular point as regular or irregular. b) Use the power series method to solve the DE 6 (²+1=0
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