Question 3 3.1 Given the equation (x²-1)y + 3xy+xy=0 where: y(0)=4, y(0)=6, x ±1 i. Classify this equation. ii. Test the point x=1. iii. Deduce a power series solution of the given problem.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Question 3
3.1 Given the equation (x²-1)y" + 3xy + xy=0 where: y(0)=4, y(0)=6, x ‡±1
i. Classify this equation.
ii. Test the point x=1.
iii. Deduce a power series solution of the given problem.
Transcribed Image Text:Question 3 3.1 Given the equation (x²-1)y" + 3xy + xy=0 where: y(0)=4, y(0)=6, x ‡±1 i. Classify this equation. ii. Test the point x=1. iii. Deduce a power series solution of the given problem.
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