Description
ds/dt= 60-(25s/(400-5t))
Is this separable? and could you show the steps to solve it?
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Explanation & Answer
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.
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