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!