Items tagged with integro-differential-equation


Please help me to solve numerically and visualise the following time-delayed integro-differential equation (see also the file attached)

diff(x(t), t$2) = .8/(x(t)^3*exp((2*0.1e-1)*(int(1/x(t), t = 0 .. t-tau))))-1/x(t)^2 , 

with the initial conditions x(0) = 1, (D(x))(0) = 0, and tau=0.1 (variable parameter).

The expected solution is an oscillatory function.

Thanks for your time and advice!

I want convert the integro differential equation to volterra integral equation by integration both side of integro-diff then subs in  initial condition 

intE := diff(u(x), x) = 1+x-x^2+int((x-t)*u(t), t = 0 .. x), u(0) = 3

How do it?

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