(adsbygoogle = window.adsbygoogle || []).push({}); Separable equations: How do you know which variable to solve for? + extra question

1. The problem statement, all variables and given/known data

I attached a sample problem with variables u and t. How do I know what the answer should be at the end? In terms of u or in terms of t or it doesn't matter?

1. The problem statement, all variables and given/known data

I also have another question, so to prevent spam I will also post it in this thread:

The second picture I attached is the question and I ended up with the answer (as shown in my picture):

y = ±(|2a|sinx/(√3/2))-a

For this question I am confused about the plug or minus sign conventions when you remove absolute value brackets. The answer key shows:

y = (4asinx/(√3/2))-a

It doesn't even have the plus or minus sign or the absolute value brackets for 2a.

Is my answer correct as well?

Thanks!

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# Separable equations: How do you know which variable to solve for?

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