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Question: differential equation - where is my error

Question:differential equation - where is my error

Christopher2222 5785
dsolve
September 19 2015
1

I seem to have an error or maybe two when I use dsolve and I've traced it back to my defining functions.  I know I'm probably not defining something the right way.

a:=m*(diff(x(t), t,t))+beta*(diff(x(t), t))+m*9.8*(f'(x)/(1+(f'(x)^2)))

                             

f:=x->sin(x)

                         

de:=a=0

                    

m:=0.01;beta:=0.01;

                           m := 0.01
                          beta := 0.01
with(Physics):
ic:=x(0)=0,D(x)(0)=.5;

                         

sol:=dsolve({de,ic},x(t),numeric)

                        Error, (in dsolve/numeric) x(t) and x cannot both appear in the given ODE

 

differential_test.mw
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