Separable Differential Equation

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Homework Help Overview

The discussion revolves around a separable differential equation encountered in a high school homework assignment. The original poster seeks clarification on a specific term in their solution, questioning the necessity of including a particular constant.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand the role of a constant in their solution, while another participant suggests that its inclusion is essential for satisfying the original differential equation.

Discussion Status

The conversation is ongoing, with participants providing insights and affirmations regarding the importance of the constant in the context of the problem. There is an acknowledgment of the value of the forum as a learning resource.

Contextual Notes

The original poster indicates that this question is part of a larger homework problem, suggesting that there may be additional context or constraints not fully explored in the discussion.

mlowery
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Hello,
Yes, this is for a class - but it is simply a high school homework assignment.
I am solving for v. (This is only part of the homework problem, BTW).
http://mlowery.t35.com/AP_4_1a.jpg
My question is particularly concerned with the last two lines. On the final line, is the -64/5 necessary?

Thanks,
Mitchell
 
Last edited by a moderator:
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of course. you can verify that otherwise, the original differential equation is not satisfied.
 
Thanks man. I guess I just wasn't thinking.

BTW, I am very impressed by these forums. It is a great resource and there are many interesting things to read.

Thanks,
Mitchell
 
It's great. There are so many knowledgeable people around. I sometimes feel like I'm learning more here than I do at school for 3000$ a year.
 
Haha, I guess I will find out next year.
 

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