Explanation Given: A differential equation d B d t = 4 B − 100 ; B = 20 w h e n t = 0 . Formula Used: The general solution to the differential equation d y d t = k ( y − A ) is given as y = A + C e k t , where C is any constant Calculation: The differential equation is given as d B d t = 4 B − 100 d B d t = 4 ( B − 25 ) Compare the above differential equation with d y d t = k ( y − A )

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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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 9.5, Problem 5P

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Find the particular solution for differential equation dBdt=4B−100; B=20 when t=0.

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Chapter 9.5, Problem 4P

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Find the particular solution for differential equation d B d t = 4 B − 100 ; B = 20 w h e n t = 0 .

Solution Summary: The author compares the general solution to the differential equation dyt=k(y-A) with B=25+Ce4t.

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Find the particular solution for differential equation dBdt=4B−100; B=20 when t=0.

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