Solving a Separable Differential Equation with an Initial Condition

[@segull009]

why can't my Professor do half of how you explain these problems, Thank you so much, calculus is not that difficult if you meet a right professor who actually knows how to teach like Patrick.

[@ulrick6992]

I agree! Thank you, sir, for making these free tutorials.

[@dustinhallenbeck]

I love how you obviously understand how to do every step and yet you break it down piece by piece, why can't every Calc teacher be like that?! AND you know what trips people up with just basic concepts and you cover it everytime just to jam it into memory! haha

[@yugao5260]

Literally, you're way better than my instructor.

[@jamilekong5527]

been watching almost all your videos since highschool. You really helped me a lot sir.

[@EonofLight]

If i ever see this guy in a bar... Im buying him a keg

[@patrickjmt]

let me know if you live in austin and which bars you go to...

[@EonofLight]

Haha, unfortunately I live in richmond VA, but if you're ever in the area or I'm in yours ill be sure to let you know!

[@patrickjmt]

donation page set up on patreon, you can go there, donate and i promise i will buy are beer or three with it :)

[@jessechen4971]

patrick, it would be great if you also do those exam lvl questions that RLY gives us a challenge =) . 1. open vid and see problem 2. attempt 3. check w/ patrick to see answer is correct 4. if not , well patrick works it out for u 5. ace the exam tyyty

[@thoraxurungus]

dude, at 2:20, before u get the 12th fraction , if u add the 1/3 to both sides, u have 8/3 + 1/3 ;]

[@Cowerzz]

very concise, got exam tmr TY

[@MrLongtip]

i love u Patrick

[@mattdouglas8900]

I thought you couldn't separate variables if the terms were not products? For example, you couldn't have y + y' = x but you could have y' * y^-1 = x, where all terms are divided. Is this because y' -> dy / dx and so dx is brought to the other side? I hope this makes sense!

[@annoyingbaby5071]

How do you decide where to put the +C? If you put it on the y side then the C would have been negative instead.

[@patrickjmt]

it is an arbitrary constant, it does not matter what the sign is (+ or - )

[@annoyingbaby5071]

patrickJMT thanks, but again if the C was put on the other side of the equation, the answer still would have came out different. Having trouble grasping this, so I get the wrong C half of the time in class :(

[@yassinghareeb4074]

i was wondering too, thanks

[@hutheifaabusamaha9015]

thanxxxx :) .. can you ansars ths qu : dy/dx=sin(x)cos(2y-cos^2y) for redcton separable and

[@karthik_silkroads]

That video length though...

[@shadow90004]

karthikronfils AND there was a 69 in the problem ;)

[@RP-16]

I bet you're views/subs/revenue goes up significantly in time for finals lol

[@Mot-dh5sx]

8 years, 0 dislikes. Damn

[@patrickdoll6036]

69/12. Nice.

[@yassinghareeb4074]

even faster than my calculator! awesome

[@petermcginley9737]

-1/12 😱

[@WHY70122]

minor mistake: 1/4-1/3 not time. that's why your number came out so huge. I got c= 3/2.

[@khaledlouiss2828]

y'+5/xy=-y^2 !!!!!!!!!!!!!

[@sadiq2008able]

hehe 69...

[@TheSnacku]

haha 69 nice