MATLAB: dsolve not giving solution

Asked Jan 16 '15 at 07:43

Active Jan 16 '15 at 07:43

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I am trying to solve a 4th order differential equation with boundary conditions but function dsolve is not giving solution. It is running for more than an hour. The code I have made is

syms omega delta x f(x)
df(x) = diff(f);
dff(x) = diff(df);
dfff(x) = diff(dff);
S = dsolve(diff(f,4) + 2*delta*diff(f,3) + delta^2*diff(f,2)...
- omega^2*f == 0, f(0) == 0, df(0) == 0, dff(1) == 0, dfff(1) == 0);

Is their any alternate method to find its non-trivial solution?

asked Jan 16 '15 at 07:43

Ankush

Do you have reason to believe that this system with arbitrary parameters and arbitrary `f(x)` has an analytic solution? – horchler Jan 16 '15 at 18:45
yes, the above mentioned equation and its solution is published in a journal papar – Ankush Jan 17 '15 at 05:13
Also, it is an equation for a cantilever beam where f(x) is its deflection which cannot be equal to zero for all x – Ankush Jan 17 '15 at 05:32
Then you should edit your question to provide a link to this paper. – horchler Jan 17 '15 at 17:40

MATLAB: dsolve not giving solution

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