Question: how to sovle this diffenential equation in maple worksheet

1.mw.....can anyone hlep to sovle this equation...for omega(t)...
(-limit((1 - omega)^(k + 2), omega = 1, left) + 1)/(k + 2) = C*int((1 - `σ_a`*sin(2*pi*N))^k, N = 0 .. N)...in solution..integral didn't get rid

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