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K1(T)=991[1-1.13(T-296)/1356]
K(T)=K1(T)+dK(T)/8
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CODE:
k1[t_] = 991 (1 - 1.13 (t - 296)/1356);
ans[t_] = DSolve[{k[1000] == 0, k[t] == k1[t] + k'[t]/8}, k[t], t][[1, 1, 2]]
p = Plot[ans[t], {t, 200, 400}, PlotRange -> All]
SystemOpen@Export["a.txt", Cases[p, Line[a_] :> a, Infinity][[1]], "Table"]

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