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Download : Robinson[1].J.C.Solution.manual.for.An.introduction.to.ordinary.differential.equations.pdf





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An introduction to ordinary differential equations 솔루션James C.Robinson저2004년판 , An introduction to ordinary differential equations James C.Robinson 솔루션기타솔루션 , James C Robinson An introduction to ordinary differential equations

2004년판



솔루션/기타
An introduction to ordinary differential equations James C.Robinson 해결책

An introduction to ordinary differential equations 해결책




Download : Robinson[1].J.C.Solution.manual.for.An.introduction.to.ordinary.differential.equations.pdf( 58 )



James C.Robinson저


순서
An Introduction to Ordinary Di?erential Equations Exercises and Solutions
James C. Robinson

1 Radioactive decay and carbon dating

Exercise 1.1 Radioactive isotopes decay at random, with a ?xed probability of decay per unit time. Over a time interval ?t, suppose that the probability of any one isotope decaying is k?t. If there are N isotopes, how many will decay on average over a time interval ?t? Deduce that N (t + ?t) ? N (t) ? ?N k?t, and hence that dN/dt = ?kN is an appropriate model for radioactive decay. Over a time interval ?t, N k?t isotopes will decay. We then have N (t + ?t) ? N (t) = ?N k?t. Dividing by ?t gives N (t + ?t) ? N (t) = ?N k, ?t and letting ?t → 0 we obtain, us…(To be continued )





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