Differential equation

Mathematics
Tutor: None Selected Time limit: 1 Day

ds/dt= 60-(25s/(400-5t))

Is this separable? and could you show the steps to solve it?

Sep 29th, 2015

ds/dt = 60 - (25s/(400 - 5t))

ds/dt = {60*(400 - 5t) - 25s} / (400 - 5t)

ds/dt * (400 - 5t) = 24000 - 300t - 25s

ds/dt * (400 - 5t) + 300t = 24000 - 25s

1/dt * (400 - 5t) + 300t/ds = (24000 - 25s)

As when we divide by ds on both sides, the equation is still un-separated.

Sep 29th, 2015

So is there any way to solve this?

Sep 29th, 2015

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