Explanation Given information: A sample of bismuth Bismuth − 210 that initially had a mass of 1000 mg decayed 500 mg in 5 days . Formula used: d N d t = N Calculation: Consider the general differential equation. − d N d t = k N d N N = k d t Now apply set the initial conditions as shown. N ( 0 ) = 1000 mg N ( 5 ) = 500 mg Integrate both sides with the initial conditions. ∫ 1000 500 d N N = − k ∫ 0 5 d t | ln N | 1000 500 = − 5 k ln 500 − ln 1000 = − 5 k ln 500 1000 = − 5 k −

4th Edition

ISBN: 9781319055905

Author: FRANZOSA

Publisher: VST

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 9.1, Problem 54E

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Set up and solve an initial value problem for determine by M(t).

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Chapter 9.1, Problem 53E

Chapter 9.1, Problem 55E

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Chapter 9 Solutions

EBK CALCULUS: EARLY TRANSCENDENTALS

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Set up and solve an initial value problem for determine by M ( t ) .

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Chapter 9 Solutions