An introduction to ordinary differential equations James C.Robinson 솔루션 풀이

An introduction to ordinary differential equations James C.Robinson 솔루션 풀이



An introduction to ordinary differential equations James C.Robinson 솔루션

An introduction to ordinary differential equations 솔루션 James C.Robinson저 2004년판


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, using the de?nition of the derivative, dN = ?kN. dt Exercise 1.2 Plutonium 239, virtually non-existent in nature, is one of the radioactive materials used in the production of nuclear weapons, and is a by-product of the generation of power in a nuclear reactor. Its half-life is approximately 24 000 ye



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문서분량 : 338 Page
파일종류 : PDF 파일
자료제목 : An introduction to ordinary differential equations James C.Robinson 솔루션
파일이름 : Robinson[1].J.C.Solution.manual.for.An.introduction.to.ordinary.differential.equations.pdf
키워드 : James,C,Robinson,An,introduction,to,ordinary,differential,equations,솔루션
자료No(pk) : 10978044

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