Isauter ort2000 Decomesthen patwon1. At a certain instant, 10 g of a radioactive substance are present.minutes, 2 g are present. Determine the decay coefficient and the half-life.After 30

Answered: After 30 1. At a certain instant, 10 g…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Isauter ort
2000 Decomes
then patwon
1. At a certain instant, 10 g of a radioactive substance are present.
minutes, 2 g are present. Determine the decay coefficient and the half-life.
After 30

Expert Solution

Step 1

What is Differential Equation:

A differential equation is any mathematical equation that contains one or more functions and their derivatives. A function's rate of change at a given point is determined by its derivatives. It is mostly employed in the domains of biology, engineering, and physics. Analysis of equation-satisfying solutions and their properties is the primary goal of differential equations. Using explicit formulas is one of the simplest ways to solve a differential equation.

Given:

Given that there are initially 10 gm.of radioactive substance. After 30 minutes, 2 gm. are available.

To Determine:

We determine the the decay coefficient and half life of the substance.