I want to know how to solve fourth order differential equation in
sagemath. Question which i actually want to solve is Euler-bernoulli
equation.
http://en.wikipedia.org/wiki/Euler%E2%80%93Bernoulli_beam_theory
I searched a lot about solving this, but didn't succeed. Does anyone
know how to solve this equation. Whether this equation is solved in
parts by taking second order derivative two times or directly.
Please give any link that shows wonderful working of sagemath
regarding 4th order differential equation. I tried this:
var('k1,k2')
y=function('y',x)
w=function('w',x)
q=function('q',x)
var('x')
de=diff(y,x,x)==q ##here i put (d^2/dx^2)(w)=y , thus (d^4/dx^4)(w)=
(d^2/dx^2)(y)
res=desolve(de,dvar=y,ivar=x)
e=diff(w,x,x)-res==0
res1=desolve(res,dvar=w,ivar=x,contrib_ode=True) ## As solution of
above will give y and again i put y= (d^2/dx^2)(w) i.e substitute back
print res1
print res
NotImplementedError: Maxima was unable to solve this ODE.
Please help.
--
Priyanka Kapoor
priyankacool10.wordpress.com
Linux User Group, Ludhiana
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