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I want to solve the Euler-Bernoulli eq numerically using a c++ library.

EI [itex]y^{4}[/itex](x)=f(x), y(0)=0,y'(0)=0,y(L)=0,y'(L)=0.

where L is the length of the beam and the initial conditions are for a cantilever.

In order to achieve that I have to make it a set of 1st ode.

How this system of 1st order ode would be like and how the initial conditions

should be rearranged?

How should the shooting method be applied to this system of 4 odes problem?

Thanks

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# 4nd order differential eq

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