|December 22nd, 2016, 04:09 AM||#11|
Joined: Dec 2006
As ln(A) = B implies A = e^B and e^(A + B) = (e^A)(e^B),
you get y(t)/(y(t)-M) = e^(ktM + CM) = e^(CM)e^(ktM).
As e^(CM) is effectively an arbitrary constant, you can replace it with C.
Now subtract 1 from each side of the equation and simplify the left-hand side.
It's then easy to see how to obtain an equation whose left-hand side is just y.
|differential, equation, separation, solve, variables|
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