Explanation Integrate the given differential equation to obtain the general solution and then substitute y ( 2 ) = 10 to find the solution Given: y ' + 6 y = 12 Calculation: Given y ' + 6 y = 12 hence d y 12 − 6 y = d t Integrating on both sides ∫ d y 12 − 6 y = ∫ d t = > t + C = − 1 6 ln | 12 − 6 y | = > 12 − 6 y = ± e − 6 t + C => y = A e − 6 t + 2 where A = ± 1 6 e C is a constant...

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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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 10.2, Problem 4E

To determine

The solution for $y' + 6 y = 12$ subject to $y (2) = 10$

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Chapter 10.2, Problem 3E

Chapter 10.2, Problem 5E

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CALCULUS W/SAPLING ACCESS >IC<

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