Change of Variables: Homogeneous Differential Equation (Example 4)

[@patrickjmt]

by writing slowly :) i always got poor grades for it in elementary school. i try and make a point of keeping things as clear as possible when i make the videos!

[@Sipho.mdluli]

MR YOU MUST BE PAID FOR YOUR MAGNIFICENT WORK THAT YOUR DOING

[@MrFuntizzle]

your channel has been a huge help. keep up the amazing work 😁

[@yummyingo]

what if the degrees are different ...? D:

[@faber_ponsojj3552]

it is not homogeneous...therefore try other methods of solving D.E.'s

[@imperialrecker7111]

maybe bernoulli might help

[@ahexcuseme6936]

Sir, I just want to thank you for your videos. Very grateful for your work. Baie dankie! 👏🏻

[@brandonbooker3775]

I like how when doing partial fraction decomp you picked values for v which make the other two equal 0. This saves us from solving a matrix, the most tedious part.

[@jorgeochoa4592]

is there any video on how to do differential equations using Bernoulli equation ?(:

[@HotPepperLala]

more examples for undetermined coefficients?

[@vusiliyK]

how did you get such good hand writing?

[@laEeels]

((assuming v isn't equal to 1))), can't you simplify things starting 2:41 by doing the long division to get dy/dx=v^2+v ??

[@chaowentsai1890]

thanks a lot patrickJMT. :)

[@TrEmEnD0132]

Couldn't you just have used long division when using the substitution of V and avoided partial fractions?

[@au313]

could you take the base of e to both sides to eleminate the Ln?

[@mathieu1881]

I get the similar equation to you but I have to get the y=... I don't know how to get there. I know I have to use e^... but I can't figure it out. Could you explain me.Thanks for such quality vids.

[@ahsan3691]

what happens if the degree of the variables aren't the same?

[@withdunamis]

Are the change of variable questions the same as substitution method? I'm confused because my textbook does not divide the whole equation to 1/x^(degree of equation)

[@imperialrecker7111]

no this is homogenous. I think your text book is talking about variable separable.

[@KennethGeraldDJiao]

What of the equation has no denominator? Do i still use 1 over x cubed over 1 over x cube?

[@CodyShell]

that was a good example

[@onth3hous3]

Can you solve a homogeneous problem that isn't in fraction form with this same method?

[@AbdulZurghani]

thank you man ! you are the best !

[@gevers14]

you rock!! can we get some second+ degree homogenous ? aka y"' + y' + y =0 and some with = ≠ 0

[@Joshuadaniel-d8h]

Why do you let v=-2 in particular.

[@faisalsaleem21]

+Joshua Daniel He used -2 because it will cancel out terms in his (v+2) equation. Just a quicker way to solve for A, B and C unknowns for his partial equation.

[@911Teresa911]

Thank you! very helpful.

[@Jakathera]

Have you considered uploading these to TeacherTube? Most schools block youtube vids, so it's a lost resource to educators :(

[@erickrobles6365]

question guys, why don't we put the [+C] on the right hand side? (the side that we did the partial fractions).

[@erickrobles6365]

+Erick Robles +patrickJMT

[@fortoday04]

+Erick Robles You only write C on one side because if you wrote two c's (c1 and c2), you would move one over to make c1 - c2, which you could just call C.

[@hotdogsuperstar001]

what if the problem is like this? (x+y)dx+(2xy)dy=0

[@debasishmajhi687]

dy/dx= -((x+y)/(2xy))

[@geraldnlang]

@ahsan3691 they'd be non-homogeneous which means you should try some other method

[@dawoud100]

Hi can you solve this problem for me (x^2+y^2)dx +(x^2-xy)dy

[@murendii__]

dawoud almujaini I got: "(y/x ) - 2ln|y/x +1| = ln|x| + C" ... could've made mistake on my arithmetic

[@imperialrecker7111]

wolfram alpha

[@13queencoffee72]

Hello? What if the given is [ xdx + (ydx-xdy) cos y/x = 0 ] please help me, I'm really having hard timeee

[@hina4500]

At the step : (v^3+2v^2- v) / (v+1) I actually did the division by long division, easily, which leads to an even simpler integration process. Just an idea!

[@Cosmos324]

very helpful!!

[@saleem6630]

+patrickJMT yo patrick why you don't solve partial fractions using roots it's much easier and it saves alot of time

[@Mohammed-wy2yh]

Thank you so mach now im ‌understand😀

[@TheAhad07]

Hey Patrick, how do you make money of KZbin? Can u explain?

[@rochieannacaso7380]

Thank you.

[@patrickjmt]

you are welcome.

[@mobinmaasoumi]

thanks , i really appropriate you....

[@paulinjosepha2336]

Respect ! That is why school cost the leg and arms in USA. When an American knows what he is doing , he becomes very dangerous.

[@anteater2536]

thx sir

[@sarahmkyoo9638]

Tina Pak Oh Aguilar..

[@tarveshmaheshwari]

How can we Solve: *dy/dx=(x^2+y^2)/(x^2-y^2)*

[@hoseinqadam]

once you become a youtube partner you get money from them.