Solving an ODE using separation of variables

Solving an ODE using separation of variables. I find the solution of a differential equation by splitting it, putting all the x terms on one side and all the t terms on the other side, and integrating. This gives an answer in implicit form, which sometimes we can write in explicit form. This is a very common technique taught in calculus classes.
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[@michaeljmcguffin]

I think the exponential's sign is supposed to change when it gets moved from denominator to numerator at 1:33

[@isobar5857]

Yeah, I noticed that too!

[@alexandreaussems5657]

me too

[@drpeyam]

Indeed

[@coreyzhang1570]

@@drpeyam I am also not comfortable with the secy) ...

[@lakshitfanan5100]

It should be e to power x square

[@michaelempeigne3519]

that prove that he be human.

[@BrunswickTchatchou]

J'aime beaucoup le travail que vous faites.surtout votre simplicité dans la resolution des problèmes.merxi à vous et aussi à bprp
Brunswick depuis l'ouest Cameroun

[@nveresdf]

0:20 I too find it very important to separate the whys from my exes

[@drpeyam]

Hahaha

[@رشاداليامي]

Yes , it's first method for solving derivatives equations
Thank you doctor

[@glacagnina]

Dear Dr. Peyam! I love your videos! I would like to make a request: one or more videos on finding the exact part of differential forms. Wouldn"t that be cool? With topological considerations and all that 🙂

[@guitar_jero]

So nice! How about “Matrix-th derivative of a matrix”?

[@jfcapanni6400]

Thanks for clarity Dr Peyman 👍 ! As another reviewer has already written, normal law is not everywhere 😁

[@ekadria-bo4962]

Yee. Doctor Peyam still make a video 😁

[@michaelempeigne3519]

it be a +, not - in e^[ ......]

[@mrmark9327]

x dy/dx + xy = x(^2 ) log(x) how to solve this differential equation

[@drpeyam]

Integrating factors

[@mrmark9327]

@@drpeyam integrating factor is e^x but how to integrate right hand side namely xe^x logx together

[@drpeyam]

Integration by parts

[@mrmark9327]

@@drpeyam which to take u and dv

[@mrmark9327]

@@drpeyam how to integrate e^x/x

[@krzysztofs.8409]

You can get x(y) = ...

[@fabiotiburzi]

I think you like too much e^(-x^2)

[@drpeyam]

I do 😂😂😂

[@venkiv4609]

Its x×e^+x^2 not x×e^-x^2

[@drpeyam]

Yep