Solve the solution of this equation using frobenious method, 2x² C\-x)y'l - x(i+ 7x)y'+y=O y= 5x+ Σ (-1)"xn+1 n=1 (2n-3)(2n-5) y=x+ E (2n+3)(2n +5)x+1 15 n=1 y=x+ E (2n-3)(2n-5)xn+1 15, n=1 1 y3= xn+1 n=1 (2n+3)(2n+5)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The solution is near the origin
Solve the solution of this equation using frobenious method,
2x² C\-x)y'l - x(i+ 7x)y'+y=O
1.
y=5x+
Σ
(-1)"xn+1
n=1 (2n-3)(2n-5)
E (2n+3)(2n +5)x+1
15
y=x+
n=1
y=x+
E (2n-3)(2n-5)xn+1
15
n=1
xn+1
°y-*+ E en+ 3M(2n + 5)
1
Transcribed Image Text:Solve the solution of this equation using frobenious method, 2x² C\-x)y'l - x(i+ 7x)y'+y=O 1. y=5x+ Σ (-1)"xn+1 n=1 (2n-3)(2n-5) E (2n+3)(2n +5)x+1 15 y=x+ n=1 y=x+ E (2n-3)(2n-5)xn+1 15 n=1 xn+1 °y-*+ E en+ 3M(2n + 5) 1
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