Question: Fourth order differential equation

Hello evrey one , I need help for solve these equation with boundary conditions 

 

 Boundary Conditions


My COde + equation 

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restart; with(plots); with(PDEtools)

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NULL

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eq := diff(g(Y), `$`(Y, 4))+diff(g(Y), `$`(Y, 2))+g(Y);

diff(diff(diff(diff(g(Y), Y), Y), Y), Y)+diff(diff(g(Y), Y), Y)+g(Y)

(1)
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cis := g(1/4) = 0, (D(g))(1/4) = 0, g(0) = 0, (D[2](g))(0) = 0

Error, (in evalapply) too few variables for the derivative with respect to the 2nd variable

 
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solut := dsolve([eq, cis], numeric)

Error, (in dsolve/numeric/process_input) system must be entered as a set/list of expressions/equations

 
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Download mp.mw

 

Thank you 

 

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