solving differential equation with integral coefficient

hi,

i want to solve this differential equation :

dQ=1-2Q*N1+20Q*N2-Q^2      Q(0.5)=0

that N1 & N2 is:

N1=exp(-int(Q(s)ds,t-0.1,t)).*(0.1<t<0.5)
N2=exp(-int(Q(s)ds,t-0.25,t)).*(0.25<t<0.5)

[Karan Gill]

Have you tried numerical solvers like ode45? You can represent the integral using the "integral" function.

[Walter Roberson]

Is there a relationship between t and s ? Your differential equation has an implicit variable, and as well you have t as a free variable, and it is not clear if those are connected.

[Torsten]

You start your integration at t=0.5, but you need Q for 0 <= t <= 0.5 to evaluate your integrals.

How is Q defined for this time interval ?

Best wishes

Torsten.

[Walter Roberson]

I do not see where the integration is started at t=0.5 ? I see Q(0.5)=0 as a boundary condition

[Torsten]

Usually the integration starts where the initial condition is set, but I might be wrong in this case.