An introduction to separable differential equations

A basic introduction to (separable) differential equations with a few examples and exercises. Also Nickelback.

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Music:
Fireside - Homage
Blue Wednesday - All that Jazz

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[viplavbhende]

YOU ARE PROBABLY THE BEST .YOU ARE UNLIKE ANYTHING ON YOU TUBE . ITS NICE TO FIND YOU ON YOU TUBE .
EXERCISES AND IT S SOLUTIONS WERE

[xDMrGarrison]

Darn! I thought it was The Great Wall Of China.

[timothymoore]

the way in which you speak about the things you're writing is totally mathy love it

[priyavembuasus]

You explain very well. Hope people teach math like this.

[professorzodiac]

Hey Great video man ! Loved the exercises (great idea) ! Keep up the good work.
Is it possible for you to make kind of a guide(Skill Tree) to level up maths skills ?
What I'm missing from the online teaching thing is an overview on *what* to learn.

[pipertripp]

great vid. Loved the exercises. That was a really nice touch.

[LeahChilders]

Thanks, this video helped me more than class did. Differential equations was something I was struggling with for my AP exam but this video helped me a lot!

[kikosilva]

My man bringing down two stereotypes in one video, by teaching ode's and playing 8bit nickelback

[zero]

Can't tell whether I should feel old or stupid. I literally forgot about u substitution. I've been out of the classroom for too long, or I'm just a damned idiot. Probably a bit of both; my brain felt bad with partial differential equations so I just dropped that course back in the day.

My favorite example of a differential equation is the logistics curve, where you assume that there's some population, then there's carrying capacity at which growth would be 0, and you assume that if that carrying capacity were arbitrarily high, the function would increase in proportion to population size, like it does in exponential growth. We intuitively know that a population should increase proportionally to its size and that the petri dish is only so big, but getting a specific formula out of it was very satisfying, for me at least.

[anthonyshea]

Can you do a video on first order linear ordinary differential equations (non separable)?? I loved the video

[randajad]

A little correction. When you write ln|x| = t + C, you should write |x| = e^(t+C) or x = {+, -} e^{t+C}.
And another one: when we divide by x, we should say that x =/= 0 and check if x = 0 is a solution of the ODE.

[pipertripp]

Dammit, the second Nickelback reference I've blundered into today.

[swiftsetrider]

Thank you so much for the video! There's one thing I dont understand though, and this might be a stupid question but, if both of the integrals are equal, how can you only keep the constant on one side? it looks like trying to subtract a number from only one side and saying they are still equal, but if the functions are equal, it seems like they should have the same constant, which you can either subtract from both sides or leave in both but not hold a constant on only one side like you could if the functions were different and the constants were unequal to begin with...

[kruksog]

They are hard though! You're right about its memeness, but it's TRUE!

[kruksog]

Also, I've always wanted to know why seperation of variables not only works, but is 'legal.' Certainly dx/dt is not a fraction.

[rajvirmanku]

I am convinced u have messed up a PDE question before just because of the way u write ur “2”s 😭

[joaquinbadillogranillo]

Differential equations = bad
Let's get some likes