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6x³y +14x²y" - 4xy' - (x-4)y=0 at are the first four terms for the series?

6x³y +14x²y" - 4xy' - (x-4)y=0 at are the first four terms for the series?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the method of Frobenius to find the first four nonzero terms in the series expansion about x = 0 for a solution to the given linear third-order equation for x > 0. 6x³y +14x²y" - 4xy' - (x-4)y=0 What are the first four terms for the series? y(x)= +... (Type an expression in terms of a that includes all terms up to order 4.)
Transcribed Image Text:Use the method of Frobenius to find the first four nonzero terms in the series expansion about x = 0 for a solution to the given linear third-order equation for x > 0. 6x³y +14x²y" - 4xy' - (x-4)y=0 What are the first four terms for the series? y(x)= +... (Type an expression in terms of a that includes all terms up to order 4.)
Use the method of Frobenius to find the first four nonzero terms in the series expansion about x = 0 for a solution to the given linear third-order equation for x>0. 6x³y +15x²y" - 3xy' - (x-3)y=0 What are the first four terms for the series? y(x) = + (Type an expression in terms of a that includes all terms up to order 4.) + ...
Transcribed Image Text:Use the method of Frobenius to find the first four nonzero terms in the series expansion about x = 0 for a solution to the given linear third-order equation for x>0. 6x³y +15x²y" - 3xy' - (x-3)y=0 What are the first four terms for the series? y(x) = + (Type an expression in terms of a that includes all terms up to order 4.) + ...
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