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The rate at which a radioactive substance decays is proportional to the remaining number of atoms.The differential equation which can be used to describe this process follows: represents the number of atoms remaining after seconds.The proportionality constant is considered the decay constant for this process.If represents the number of remaining atoms at seconds, find the general solution.

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MCQs on Differential Equations.


The rate at which a radioactive substance decays is proportional to the remaining number of atoms.The differential equation which can be used to describe this process follows:<br/><br><img src='https://www.fatskills.com/images2/GradExams/411733D6-B996-4829-BFC4-22A878BED425.png' height='24' width='93'/><br/><br><img src='https://www.fatskills.com/images2/GradExams/9E1E2351-04D9-4DA5-A071-1C4E76ED8C24.png' height='14' width='16'/> represents the number of atoms remaining after<br><img src='https://www.fatskills.com/images2/GradExams/60627DE7-0B80-44ED-9292-2AB85431555B.png' height='14' width='7'/> seconds.The proportionality constant<br><img src='https://www.fatskills.com/images2/GradExams/E789678B-4142-4BCE-8F6B-0521C2ABD9DC.png' height='15' width='10'/> is considered the decay constant for this process.If<br><img src='https://www.fatskills.com/images2/GradExams/74F7B7D3-DF1E-47BF-9C31-6C1E7D16AD9F.png' height='18' width='22'/> represents the number of remaining atoms at<br><img src='https://www.fatskills.com/images2/GradExams/44FC6D41-5521-4C5D-9C9C-ADC65E4D19E1.png' height='15' width='42'/> seconds, find the general solution.





 
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