Answered: s) find the general sduton of second…

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s) find the general sduton of second dilferential equation 3y"+2y'+y=0

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

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Question

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s) find the general sduton of second dilferential equation
3y"+2y'+y=0

Expert Solution

Step 1

Consider the given differential equation

3y" + 2y' + y = 0

Step 2

Let y = e^mx

Then y' = me^mx and y" = m²e^mx

Substituting in the differential equation, we have

Step by step

Solved in 3 steps with 2 images

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