Find the particular solution determined by the initial condition.\\ $\frac{ds}{dt} = 11t^2 + 7t - 8$; $s(0) = 101$
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Given: ds/dt = 11t^2 + 7t - 8 Integrating both sides with respect to t: ∫ds = ∫(11t^2 + 7t - 8) dt s = 11∫t^2 dt + 7∫t dt - 8∫dt s = 11(t^3/3) + 7(t^2/2) - 8t + C s = (11/3)t^3 + (7/2)t^2 - 8t + C Show more…
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