Question: 5) Two substances with concentrations r(t) and y(t) react to form a third substance with concentration z(t). The reaction is governed by the system x'

5) Two substances with concentrations r(t) and y(t) react to form

5) Two substances with concentrations r(t) and y(t) react to form a third substance with concentration z(t). The reaction is governed by the system x' + ax = (13) , 2= by: = (14) = x + y + z = C, (15) where a, b, and c are known positive constants and a #b. Solve for x(t), y(t) and z(t) when z(0)=z (O)=0

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