(adsbygoogle = window.adsbygoogle || []).push({}); The problem statement, all variables and given/known data

Determine all the solutions, if any, to the given boundary value problem by first finding a general solution to the differential equation:

y" + y = 0 ; 0<x<2π

y(0)=0 , y(2π)=1

The attempt at a solution

So the general solution is given by: y = c_{1}sin(x) + c_{2}cos(x)

Substituting in the boundary conditions we get:

y(0)=0=c_{2}==> c_{2}=0

y(2π)=1=c_{2}==> c_{2}=1

Since the above is contradictory, does it mean that there are no solutions to this boundary value problem?

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# Boundary Value Problem

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