Boundary Condition for deflection of Beam

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zetshield21
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I have a problem how to select the boundary condition when i answer this deflection of beam.
for example: the boundary condition is [x=o,y=0],[x=l,y=0],[x=o,dy/dx=o] and [x=L,dy/dx=0]
given that
EIdy/dx= Ax+wx^2/2
EIy= Ax^2/2+wx^3/6

anybody can tell me how to select this?
 
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Elaborate on the problem because what you are asking is not clear.