Question

(1 point) Consider the DE 7y′′−112y=0 . Check which of the following series functions is a...

(1 point)
Consider the DE 7y′′−112y=0 . Check which of the following series functions is a solution.
(Hint: It could be more than one)


A.

∑n=0∞(−1)n42nx2n2n∑n=0∞(−1)n42nx2n2n


B.

∑n=0∞(−1)n42n+1x2n+12n+1∑n=0∞(−1)n42n+1x2n+12n+1


C.

∑n=0∞42nx2n(2n)!∑n=0∞42nx2n(2n)!


D.

∑n=1∞(−1)n4nxnn∑n=1∞(−1)n4nxnn


E.

∑n=0∞(−1)n42n+1x2n+1(2n+1)!∑n=0∞(−1)n42n+1x2n+1(2n+1)!


F.

∑n=0∞4nxn∑n=0∞4nxn


G.

∑n=0∞(−1)n42nx2n(2n)!∑n=0∞(−1)n42nx2n(2n)!


H.

∑n=0∞42n+1x2n+1(2n+1)!∑n=0∞42n+1x2n+1(2n+1)!

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