Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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In each of Problems 1 through 11:
a. Seek power series solutions of the given differential equation
about the given point xo; find the recurrence relation that the
coefficients must satisfy.
b. Find the first four nonzero terms in each of two solutions y₁
and y2 (unless the series terminates sooner).
c. By evaluating the Wronskian W[y1, y2](x0), show that yı
and y2 form a fundamental set of solutions.
d. If possible, find the general term in each solution.
9. (3x²)y" - 3xy' - y = 0, x0 = 0
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Transcribed Image Text:In each of Problems 1 through 11: a. Seek power series solutions of the given differential equation about the given point xo; find the recurrence relation that the coefficients must satisfy. b. Find the first four nonzero terms in each of two solutions y₁ and y2 (unless the series terminates sooner). c. By evaluating the Wronskian W[y1, y2](x0), show that yı and y2 form a fundamental set of solutions. d. If possible, find the general term in each solution. 9. (3x²)y" - 3xy' - y = 0, x0 = 0
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