Determine the Fourier series corresponding to the even extension of the function  f(x) = sin(x), defined at x ∈ [0, π].

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A: Some of the properties of Laplace Lu(t-c)g(t)=e-csL[g(t+c)] L[tneat]=n!(s-a)n+1 Leat=1s-a    

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Q: 2. xy' 2xex - y + 6x2

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Q: Evaluate "

A: It is known that: L-1a·fs+b·gs=a·L-1fs+b·L-1gsL-1as2+a2=sinatL-1n!sn+1=tn

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