Syntax for specifying boundary condition using dsolve.

I am working on a beam bending/deflection problem. The boundary conditions I need to satisfy are…
Displacement at x = 0 is 0
Slope at x = 0 is 0
Displacement at x = L is 0
Moment at x = L is 0
The code I have is below. The issue I am having is specifying the moment to be zero at x=L (syntax).

syms I E L f x u0(x)
% initial equation
eq1 = diff(E*I*diff(u0,x,2),x,2) + f == 0

% gen. sol.
eq2 = dsolve(eq1)

% part. sol.
Du0 = diff(u0,x,1); DDu0 = diff(u0,x,2);
bc1 = u0(0) == 0 % Displacement at x = 0 is 0
bc2 = Du0(0) == 0 % Slope at x = 0 is 0
bc3 = u0(L) == 0 % Displacement at x = L is 0
bc4 = DDu0(x==L) == 0 % Moment at x = L is 0
eq3 = dsolve( eq1 , [ bc1, bc2 , bc3 , bc4 ] )I am working on a beam bending/deflection problem. The boundary conditions I need to satisfy are…
Displacement at x = 0 is 0
Slope at x = 0 is 0
Displacement at x = L is 0
Moment at x = L is 0
The code I have is below. The issue I am having is specifying the moment to be zero at x=L (syntax).

syms I E L f x u0(x)
% initial equation
eq1 = diff(E*I*diff(u0,x,2),x,2) + f == 0

% gen. sol.
eq2 = dsolve(eq1)

% part. sol.
Du0 = diff(u0,x,1); DDu0 = diff(u0,x,2);
bc1 = u0(0) == 0 % Displacement at x = 0 is 0
bc2 = Du0(0) == 0 % Slope at x = 0 is 0
bc3 = u0(L) == 0 % Displacement at x = L is 0
bc4 = DDu0(x==L) == 0 % Moment at x = L is 0
eq3 = dsolve( eq1 , [ bc1, bc2 , bc3 , bc4 ] ) I am working on a beam bending/deflection problem. The boundary conditions I need to satisfy are…
Displacement at x = 0 is 0
Slope at x = 0 is 0
Displacement at x = L is 0
Moment at x = L is 0
The code I have is below. The issue I am having is specifying the moment to be zero at x=L (syntax).

syms I E L f x u0(x)
% initial equation
eq1 = diff(E*I*diff(u0,x,2),x,2) + f == 0

% gen. sol.
eq2 = dsolve(eq1)

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