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I was wondering if you can apply shooting method to a 4nd differential eq.

two point value boundary problem,

specifically I want to use this method to solve Euler-Bernoulli eq.

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

Normally, if you have a 2nd order two point value boundary problem,

you can solve it with shooting method by making it an initial condition problem,

''guessing'' the one of the two initial conditions, and iterating (changing your guess) until you meat the 2nd boundary condition.

But when you have a 4nd differentila eq. you should ''guess'' 2 initial conditions... so, how this would work?

Thanks

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# Applying shooting method to 4nd two point value boundary problem

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