Advanced Search

Question: How to avoid error in ODE?

Question:How to avoid error in ODE?

d1mis 15 Maple
ode singularity
May 22 2017
2

Hi, I'm trying to solve this ode:
restart; with(plots); with(DEtools);

l := t -> 0.5*tanh(0.5*t);

deq := diff(f(t), t)*l(t)*(diff(f(t), t, t)*l(t)+9.8*sin(f(t)))+diff(l(t), t)*(diff(f(t), t)^2*l(t)-9.8*cos(f(t))+4*(l(t)-0.5)) = 0;

sol := dsolve({deq, f(0) = 0, D(f)(0) = 0.1}, f(t), numeric);

 

but getting an error:

Error, (in dsolve/numeric/checksing) ode system has a removable singularity at t=0. Initial data is restricted to {f(t) = 1.77632183122019}
 

How can I possibly fix this?
Please Wait...