A radioactive series consists of two different radioactive materials. One radioactive material with decay constant  k1,  known as the parent, decays to another radioactive material with decay constant  k2,  known as the daughter. For  n = 1, 2,  let  yn(t)  denote the amount of radioactive material with decay constant  kn  present t minutes after we begin to measure the amount of the parent substance. At any time, the rate of change of the daughter material is the amount of daughter material resulting from the decay of the parent material minus the material lost by the decay of the daughter. Use this to derive a first-order differential equation for y2. (Enter a to represent  y1(0)  in your response.) dy2/dt =

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A radioactive series consists of two different radioactive materials. One radioactive material with decay constant 
k1,
 known as the parent, decays to another radioactive material with decay constant 
k2,
 known as the daughter. For 
n = 1, 2,
 let 
yn(t)
 denote the amount of radioactive material with decay constant 
kn
 present t minutes after we begin to measure the amount of the parent substance. At any time, the rate of change of the daughter material is the amount of daughter material resulting from the decay of the parent material minus the material lost by the decay of the daughter.
Use this to derive a first-order differential equation for y2. (Enter a to represent 
y1(0)
 in your response.)

dy2/dt =
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