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Find the first four nonzero terms in a power series expansion of the solution to the given initial value problem. 2y'-6e²y=0; y(0) = 4 Rewrite the given differential equation in termslof a power series, using a general solution 00 y(x) = Σan (x-x)". Expand 2x in a power series, writing the first four terms. Select the correct answer n=0 below and fill in the answer box to complete your choice. 80 OA. 2 Σ n(n-1)an (x-xo)-²-6(+) Σan (x-xo)" = 0 n=2 n=0 Ο Β. 2 ...) Σ nan (x-xo)^-1-6 Σ. an(x-x)"=ο n=1 n=0 00 ο c. 2 Σ n (x - x)"-1-6 ( 7+..) Σ @n(x-xo)"=o n=1 NHO 00 00 OD. 2 Σ n(n-1)an (x-xo)-²-6(+) Σ na, (x-Xo) "-¹ = 0 n=2 n=1

Find the first four nonzero terms in a power series expansion of the solution to the given initial value problem. 2y'-6e²y=0; y(0) = 4 Rewrite the given differential equation in termslof a power series, using a general solution 00 y(x) = Σan (x-x)". Expand 2x in a power series, writing the first four terms. Select the correct answer n=0 below and fill in the answer box to complete your choice. 80 OA. 2 Σ n(n-1)an (x-xo)-²-6(+) Σan (x-xo)" = 0 n=2 n=0 Ο Β. 2 ...) Σ nan (x-xo)^-1-6 Σ. an(x-x)"=ο n=1 n=0 00 ο c. 2 Σ n (x - x)"-1-6 ( 7+..) Σ @n(x-xo)"=o n=1 NHO 00 00 OD. 2 Σ n(n-1)an (x-xo)-²-6(+) Σ na, (x-Xo) "-¹ = 0 n=2 n=1

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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Find the first four nonzero terms in a power series expansion of the solution to the given initial value problem. 2y'-6e²y=0; y(0)=4 Rewrite the given differential equation in terms of a power series, using a general solution 00 y(x) = a (x-x)". Expand 2x in a power series, writing the first four terms. Select the correct answer n=0 below and fill in the answer box to complete your choice. 80 Ο.Α. 2. Σ n(n-1)an (x-xo)"-2-6( |+ .) Σ *n (x-x)"=0 n=2 n=0 Ο Β. 2 ...) Σ nan (x-xo)^-1-6 Σ. en(x-x)"=ο n=1 n=0 00 oc. 2 Σ nan (x-x)"-1 -6( 1+) Σ (x-x)"=o n=1 nwo 00 00 OD. 2 Σ n(n-1)an (x-xo)-²-6(+) Σ na, (x-Xo) "-¹=0|| n=2 n=1
Transcribed Image Text:Find the first four nonzero terms in a power series expansion of the solution to the given initial value problem. 2y'-6e²y=0; y(0)=4 Rewrite the given differential equation in terms of a power series, using a general solution 00 y(x) = a (x-x)". Expand 2x in a power series, writing the first four terms. Select the correct answer n=0 below and fill in the answer box to complete your choice. 80 Ο.Α. 2. Σ n(n-1)an (x-xo)"-2-6( |+ .) Σ *n (x-x)"=0 n=2 n=0 Ο Β. 2 ...) Σ nan (x-xo)^-1-6 Σ. en(x-x)"=ο n=1 n=0 00 oc. 2 Σ nan (x-x)"-1 -6( 1+) Σ (x-x)"=o n=1 nwo 00 00 OD. 2 Σ n(n-1)an (x-xo)-²-6(+) Σ na, (x-Xo) "-¹=0|| n=2 n=1
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