Existence and Uniqueness

[@ArnesKlisura]

Wow, as clear as possible. Superb! Keep up the good work.

[@Autumn11f]

This voice and explanation is really good thx

[@sambhusharma1436]

How to check existence of solution of second order differential equations?

[@fernandochicaiza6636]

I really needed a video like this! Thanks

[@jitendrasingh-nd7kq]

How do we choose a,b for interval of solution which are not given in question, there are only initial value

[@enadmhd]

thank you very much. this helped a lot

[@How_About_This428]

Thank you sir for the explanation Is there any video about delay differential equation

[@MisterBinx]

So at 2:19, you couldn't use the initial condition that t0=0 because the f(t,y) is not defined there. But everyone other t0 you use there is a solution.

[@thecyclops2449]

best explained, thanks

[@samvaidansalgotra7427]

Thanks Prof! This video helped me a lot!!

[@rajbirvirdi4571]

This was very helpful. Thank you.

[@Fai9alsq]

what do you mean by unique ? do you mean that it is a single solution or it is a special solution ?

[@mlwright]

A "unique" solution means that there is only one solution to the differential equation that passes through the given point.

[@Bablu406611]

@@mlwright that means excluding the trival solution y(x)=0.. i mean if the differential equations contain y(x)=0, and y_1(x).. bothe the solution.. then is it unique??

[@aumeeseeks4434]

Could you place the equation for distance over the equation for electromagnetism and it will give the state of the solution within and outside t0 and y0 Would that make everything the same just at a different state? Thanks. I really wish I could explain. Things in 4d so people could see and understand what I'm trying to say

[@AmalRatheesan]

awesome....

[@khalilgoharb3018]

please can u explain onther examples about cases unique , many and no solution . to be clear the differenc between it, thanks .

[@hyperfiregaming8888]

Thanks!

[@squirrel8121]

the absolute goat

[@mohammadghani1379]

why only df/dy to make sure that solution UNIQUE? How about df/dx? Is it enough only df/dy that the solution UNIQUE?

[@dsapienza2000]

To really understand why the condition on the y partial derivative is sufficient you should look at the proof for this theorem (Picard-Lindelöf or Cauchy-Lipschitz). It relies on a property of the function f(t,y) which defines the ODE (Lipschitz continuity in y) that is implied by the continuity of the partial derivative with respect to y

[@hamzehabuabed6333]

thanks

[@him31anshu]

I didn't understand!

[@nvfpv]

Literally was a 3 hour read put into 6 mins wtf

[@5gallonsofwater495]

he sounds like william osman

[@krohit65]

Most of the viewer are Indian.

[@sergiosuta1643]

merchan 2.0

[@comfycozyarewe388]

This video was kinda confusing because this is just confusing material. Eep

[@RefluxCitadelRevelations]

Heh?

[@khalilgoharb3018]

please can u explain onther examples about cases unique , many and no solution . to be clear the differenc between it, thanks .