Question: Solving Integro differential equation

hi

please help me to solve the following system of ODE

diff(u(eta), eta, eta)+.5699919300/(0.9930000000e-3+0.3883623000e-1*phi(eta)+.5301627000*phi(eta)^2)+1/(eta-1)+(0.3883623000e-1+1.060325400*phi(eta))*(diff(phi(eta), eta))*(diff(u(eta), eta))/(0.9930000000e-3+0.3883623000e-1*phi(eta)+.5301627000*phi(eta)^2) = 0;

diff(T(eta), eta, eta)+(5.05659*((-1.1752324*10^6*phi(eta)+4.1744724*10^6)*u(eta)/(int((1-eta)*(-1.1752324*10^6*phi(eta)+4.1744724*10^6)*u(eta), eta = 0 .. .5))+7.47*(diff(phi(eta), eta))/(1+7.47*phi[0])-(.1977617327*(.597+4.45959*phi(eta)))*(diff(T(eta), eta))/(1-eta)))/(.597+4.45959*phi(eta))=0;

diff(phi(eta), eta)-5.000000000*phi(eta)*(diff(T(eta), eta)) = 0;

with following boundary condition

u(0)=0,u(0.5)=0,phi(0)=1,T(0)=0,D(T)(0)=0

thanks for your attention in advance

Amir