Solving the logistic differential equation part 1 | Khan Academy

Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations.

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[rebeccadoorley]

was completely with you until 7.20m havent a clue after that!

[identity]

Holy cow this is loooong and complicated.

[zhaoyangxie]

Great video. Just have one question: why don't you use separation way just like what you did in the previous videos? Thanks.

[meltemkaya]

if we regulate 1/(1-N/K) as K/(K-N) then we can see K/N(K-N) = 1/N - (-1)/(K-N). And the solution will be easier.

[peter_roth_]

Geat job how you did this partial fractions expansion.

[BiscuitZombies]

11:15 The integral of (-1/k)/(1-n/k) with respect to n is 1/k * Ln(1-n/k), note the 1/k coefficient. Why does yours not have a coefficient?

[prosimion]

thank you once again sir....sorry I haven't said that in a while.

[nullheim]

Well at 6:33, I didnt use the partial fraction like you, I used 1/(K-N) instead of using (1/K)/(1-(N/K)). Here is the problem ; mathematically they are exatly the same, but I got different answer, my calculations are right just like yours. Aren't they same expressions, if not, can you tell me why not? I found the equation as follows :
N(t)=((KN.)/(e^(-rt)K+N.)) yours is only different thing between our functions is you have coefficent (K-N.) to e^(-rt), mine has a coefficient K

[dialaali]

can you help me with (computing the poincare map )?
and thank you for this video its helpful

[rogelioherbolingo]

Is separable equation with an implicit or explicit solution not applicable in this situation??

[dragonbrave]

mathematics is so versatile, is like water taking the shape of its vessel.
Im stuck at 8:44, I don't get that Ln derivative.

[ConnorMooneyhan]

At 7:30, I'm very confused. Why are we taking the antiderivative with respect to N and then taking the antiderivative of that with respect to t?

[gexwing]

haha part 1 isn't showing in my inbox, yet here it is :)

[tauseefahmedmemon]

how is he taking derivative of terms with no "t" in them w.r.t "t" and not making them 0???

[ShiroWretchedEggX]

Much easier to solve if you know how to solve bernoulli equations.