Prove g(x) = (-1)". x2n is a solution to the differential equation g"(x)+ g(x) = 0. (2n)! %3D n=0

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Q9.Math calculus. Please explain every step, step by step, even small step, clearly using any definition or concept, Please provide a mathematically rigorous and detailed solution

9. Prove g(x) = (-1)".
x2n
is a solution to the differential equation g"()+ g(x) = 0.
(2n)!
n
n=0
Transcribed Image Text:9. Prove g(x) = (-1)". x2n is a solution to the differential equation g"()+ g(x) = 0. (2n)! n n=0
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