Two chemical solutions, one containing N molecules of chemical A and another containing M molecules of chemical B, are mixed together at time t = 0. The molecules from the two chemicals combine to form another chemical solution containing y (AB) molecules. The rate at which the AB molecules are formed, , is called the reaction rate and is jointly proportional to and . Thus, where k is a constant (we assume the temperature of the chemical mixture remains constant during the interaction). Solve this differential equation with the side condition assuming that and

Question

Two chemical solutions, one containing N molecules of chemical A and another containing M molecules of chemical B, are mixed together at time t = 0. The molecules from the two chemicals combine to form another chemical solution containing y (AB) molecules. The rate at which the AB molecules are formed,  , is called the reaction rate and is jointly proportional to  and  . Thus,  ​ where k is a constant (we assume the temperature of the chemical mixture remains constant during the interaction). Solve this differential equation with the side condition  assuming that  and

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The Answer of Two chemical solutions, one containing N molecules of chemical A and another containing M molecules of chemical B, are mixed together at time t = 0. The molecules from the two chemicals combine to form another chemical solution containing y (AB) molecules. The rate at which the AB molecules are formed,  , is called the reaction rate and is jointly proportional to  and  . Thus,  ​ where k is a constant (we assume the temperature of the chemical mixture remains constant during the interaction). Solve this differential equation with the side condition  assuming that  and

Two Chemical Solutions, One Containing N Molecules of Chemical a and Another