# Separating variables help

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#1
I'm on the last question on differential equations and still have trouble separating the variables in certain forms - how would I do it for this question?
Thank you
Last edited by Rhys_M; 1 month ago
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1 month ago
#2
Hi, you can divide both sides by T(80000-T) and multiply both sides by dt, so the equation turns into 1/T(80000-T) dT = 1/12000 dt
1
#3
(Original post by swu_)
Hi, you can divide both sides by T(80000-T) and multiply both sides by dt, so the equation turns into 1/T(80000-T) dT = 1/12000 dt
Thank you,
So i'd need to do partial fraction decomposition on the LHS?
Last edited by Rhys_M; 1 month ago
0
1 month ago
#4
(Original post by Rhys_M)
Thank you,
So i'd need to do partial fraction decomposition on the LHS?
I’m not exactly sure but I think so, as then when you integrate both sides, the LHS will turn into a natural log, if that makes sense!
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