4th order differential equation

2018 10 31
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更新时间：2018 10 31
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Hello, Can anyone help me with solving below?
EI(d^4v/dx^4) = w
Boundary conditions are
v(x=0) = 0 ; v(x=L)= 0; dv/dx(x=0) = 0 ; dv/dx(x=L) = 0

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madhan ravi
madhan ravi 2018-10-31
编辑：madhan ravi 2018-10-31
whats EI? upload the question in latex form
Stephan
Stephan 2018-10-31
EI usually represents the stiffness matrix

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madhan ravi
madhan ravi 2018-10-31
编辑：madhan ravi 2018-10-31

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syms y(x) w EI L
c1=y(0)==0
y1 = diff(y,x)
c2=y1(0)==0
c3=y(L)==0
c4=y1(L)==0
y(x)=dsolve(diff(y,x,4)==w/EI,c1,c2,c3,c4)

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Ahmed Al Jasar
Ahmed Al Jasar 2018-10-31

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y''''=w/EI, y(0)=0, y'(0)=0 ,y(L)=0, y'(L)=0
I am trying to find a deflection in a beam y(x), which is dependent on the load(w) and the stiffness (EI), E and I are constant so I guess I need to do all of them symbolic!

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