13. The radioactive isotope Bismuth-210 decays to Polonium-210 with half-life of 5 days. In turn, Polonium-210 decays to Lead-206 with a half-life of 138 days. Lead-206 is stable (it doesn't decay). Set up and solve a linear system of ODEs for the amount of these three elements present at time t. If you start with 100 kg of Bismuth-210 at time 0, how long does it take for half of the original mass (50 kg) to become lead?
13. The radioactive isotope Bismuth-210 decays to Polonium-210 with half-life of 5 days. In turn, Polonium-210 decays to Lead-206 with a half-life of 138 days. Lead-206 is stable (it doesn't decay). Set up and solve a linear system of ODEs for the amount of these three elements present at time t. If you start with 100 kg of Bismuth-210 at time 0, how long does it take for half of the original mass (50 kg) to become lead?
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![13. The radioactive isotope Bismuth-210 decays to Polonium-210 with half-life of 5 days. In
turn, Polonium-210 decays to Lead-206 with a half-life of 138 days. Lead-206 is stable (it
doesn't decay). Set up and solve a linear system of ODEs for the amount of these three
elements present at time t. If you start with 100 kg of Bismuth-210 at time 0, how long
does it take for half of the original mass (50 kg) to become lead?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23fceb3d-314c-48b3-82c8-c74413249d2d%2Fb4a56cf9-d27d-4691-9187-b6bb56328b0f%2Fi5m4o3k_processed.png&w=3840&q=75)
Transcribed Image Text:13. The radioactive isotope Bismuth-210 decays to Polonium-210 with half-life of 5 days. In
turn, Polonium-210 decays to Lead-206 with a half-life of 138 days. Lead-206 is stable (it
doesn't decay). Set up and solve a linear system of ODEs for the amount of these three
elements present at time t. If you start with 100 kg of Bismuth-210 at time 0, how long
does it take for half of the original mass (50 kg) to become lead?
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