Question: How can I solve this ODE with an integral by dsolve?

ode := D(c)(t) = (ln(c(t)) + w - p*c(t))*(c(t)(t + 1/int(c(h), h = 0 .. t)) + int(c(h), h = 0 .. t))/(p - 1/c(t))


I have such differential equation derived from Euler-Lagrange condition of calculus of variation problem. 

I tried to solve it, but it says there are two c(t) and c(h). c(t) is what I want to get.


Thank you

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