Find the first four tems in each portion of the series solution around x, = 0 for the differential equation (x2 + 1) y"- 4x y' + 6y = 0 A) y(x) = a, (x³ – 3x²) – a, (x +x³) B) y(x) = a, (x² – 3x*) + a, (-x-r) C) y(x) = a, (1– 3x')+a, (x-*) D) y(x) = a, (1– 3x²) + a, (x-x³)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Find the first four tems in each portion of the series solution around x, = 0 for the
differential equation (x² + 1) y" - 4x y' + 6y = 0
A) y(x) = a, (x³ – 3x³) – a, (x +*)
B) y(x) = a, (x² – 3x²)+ a (-x-x²)
C) y(x) = a, (1– 3x')+a, (x-*)
D) y(x) = a, (1– 3x²) + a, (x-)
A
Transcribed Image Text:Find the first four tems in each portion of the series solution around x, = 0 for the differential equation (x² + 1) y" - 4x y' + 6y = 0 A) y(x) = a, (x³ – 3x³) – a, (x +*) B) y(x) = a, (x² – 3x²)+ a (-x-x²) C) y(x) = a, (1– 3x')+a, (x-*) D) y(x) = a, (1– 3x²) + a, (x-) A
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