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y''+4y=f(x) (0[tex]\leq[/tex]x[tex]\leq[/tex]1)

y(0)=0 y'(1)=0

Find the Green's function (two-sided) for this problem.

Working: So firstly, I let y(x)=Asin2x+Bcos2x

Then using the boundary conditions,

Asin(2.0)+Bcos(2.0)=0 => B=0

y'(x)=2Acos(2x)-2Asin(2x)

y'(0)=2A=0 => A=0

But is this right? How can I derive a Green's function (two-sided) from this? Please help.

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# Boundary Value Problem + Green's Function

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