Solve the differential equation with constant coefficients

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Homework Help Overview

The discussion revolves around solving a differential equation with constant coefficients. Participants are examining the correctness of specific calculations related to the solution process.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the validity of a calculation involving square roots, specifically whether √56 can be simplified to (√52)/4 = (√13)/2. There are multiple inquiries about the correctness of the solution presented.

Discussion Status

The discussion is ongoing, with some participants expressing their opinions on the correctness of the calculations. Guidance has been offered regarding the posting of questions in the appropriate section and the approach to verifying solutions.

Contextual Notes

There is a note regarding the appropriate forum section for differential equations, indicating a potential misunderstanding of where to post such questions. Additionally, there is an emphasis on verifying solutions by substituting them back into the original equation.

Fatima Hasan
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Homework Statement



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Homework Equations



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The Attempt at a Solution


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Is my answer correct?
 

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How do you get √56? Shouldn't it be (√52)/4 = (√13)/2?
 
mjc123 said:
How do you get √56? Shouldn't it be (√52)/4 = (√13)/2?
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Is it correct now ?
 

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Looks OK to me.
 
Fatima Hasan said:
View attachment 234491
Is it correct now ?
1. In the future, please post questions about differential equations in the Calculus & Beyond section. I will move the ones you have posted in the Precalc section.
2. You don't need to ask us to check your work for these kinds of problems. Just substitute your solution in the original diff. equation.
 

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