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In a second-order chemical reaction, the mass M(t) of a substance (in grams) at time t (in seconds) obeys the following differential equation dM =

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In a second-order chemical reaction, the mass M(t) of a substance (in grams) at time t (in seconds) obeys the following differential equation dM = -kM2 dtwhere k is a constant.If k = 1 10' find the general solution to this equation. Find the solution when there are initially 10 grams of the substance at time t = 0.Find the general solution of the following differential equations day i) dx2 +8+16y = 0 ii) day - 6 dy + 13y = 0. dx2 dx

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