Explanation Given: d m d t = 0.1 m + 200 ; m ( 0 ) = 1000 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 m d t = 0.1 m + 200 d m d t = 0.1 ( m + 2000 ) d m d t = 0.1 ( m − ( − 2000 ) ) 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 4P

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Find the particular solution for below differential equation.

dmdt=0.1m+200; m(0)=1000

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Chapter 9.5, Problem 3P

Chapter 9.5, Problem 5P

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APPLIED CALCULUS (WILEY PLUS)

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Find the particular solution for below differential equation. d m d t = 0.1 m + 200 ; m ( 0 ) = 1000

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Find the particular solution for below differential equation. dmdt=0.1m+200; m(0)=1000

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Chapter 9 Solutions

Find the particular solution for below differential equation.

dmdt=0.1m+200; m(0)=1000