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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
Wilhelm Wundt
Often considered the father of experimental psychology, he established the first psychology laboratory at the University of Leipzig, Germany.
Psychology Laboratory
A controlled environment where psychological research, experiments, and testing are conducted to study the human mind and behavior.
Sensations
The immediate and basic experiences generated from sensory stimulation, such as seeing or hearing.
Psychology
The scientific study of the mind and behavior, encompassing various aspects of conscious and unconscious experience as well as thought.
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