Use a variable substitution to get into a Bessel equation form?

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The discussion revolves around a homework problem requiring a variable substitution to transform an equation into the form of a Bessel equation. The user expresses confusion about which substitution to apply and admits to not having made any attempts to solve the problem yet. They also acknowledge not following forum rules by failing to provide the complete problem statement. The lack of initial effort and specific details makes it challenging for others to assist effectively. The user seeks guidance on how to approach the problem.
ipat918
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Homework Statement
Use a variable substitution to get into a Bessel equation form?
Relevant Equations
Bessel equation
Hello,

For my homework I am supposed to get-
242729

into the form of a Bessel equation using variable substitution. I am just not sure what substitution to use.
Thanks in advance.
 

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Forum rules require you to show your efforts at finding a solution. Also, please state the entire problem as given.
 
Hello,

I apologize, I didn't read the rules properly beforehand. The question is part of a much longer, complex question, this is just the part I am stuck on and it is literally all the information I have to solve it. As for my efforts, well there are none right now. I have no idea where to even start on guessing what substitution to use.

Thanks
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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