How To Solve Differential Equations | By Separation Of Variables

#Separation #of #Variables is a special method for solving Differential Equations

Three Steps:

Step 1 Move all the y terms (including dy) to one side of the equation and all the x terms (including dx) to the other side.

Step 2 Integrate one side with respect to y and the other side with respect to x. Don't forget "+ C" (the constant of integration).

Step 3 Simplify

Given that dy/dx = f(x)*g(y)
dy/g(y) = f(x)dx
∫dy/g(y) = ∫f(x)dx
G(y) = F(x) + c

If you find this video interesting, kindly subscribe to my channel for more exciting Maths tutorials.

[joshuarayburn]

These are legitimately the best videos to watch to learn how to solve differential equations. Thank you so much you are appreciated.

[damilojuotitoloju]

You are a good teacher.May God continue to bless you.

[annmwendemaundu]

Wow the teaching is very amazing I'm getting to understand each and every step you teaching you are a good tutor

[princesekyi]

perfectly explained. God bless you sir.

[Ezee_Kits]

Me watching this tutorial and wondering were this smart guys come from.i love your tutorials, its easy and well explained. Thanks

[ESOMNOFUONLINEMATH]

You are one of the best Math Tutors I have ever met!
Keep up the good work.
One day, maga go pay

[chepkorircaren]

It is really amazing I have learnt alot from you sir be blessed

[mustaphaidris]

You are my Best tutor sir
more BARAKAH.

[RankenKabambe]

Your good when delivering l enjoyed it

[alphasaffi]

My mentor thank you very much.God blessed you sir

[faithfulnesstech]

First educational channel that I'm subscribing, liking and commenting at the first video I'm watching from the channel.

Much love man ❤

[ogazboiz]

Pls help me with this separation variable
1) x²(y+1) + y²(x-1)dy/dx =0
2) ( 1+ ׳)dy/dx = x²y given that x = 1 when y = 2
3) x(y-3)dy/dx = 4y.
Please in a sheet of paper🙏🥺

[DavidDziwornu-nc]

Thank You for the explanation. Please there was a mistake with the last solution instead of integral 1/y dy, you forgot by writing integral 1/y dx

[lorenzomthembu]

thanks for the video, , indeed you are the best Math Tutor

[phantomxyz]

Sorry to ask, and I really want to confirm for the 4th example, isn't it only for y^-1 that you can change it to 1/y???

[matthewemmanuel]

Nice one my boss, you've helped me a lot. I'll deeply appreciate you. There's a little mistake at where you integrated that's after separation of x and y, you wrote dx at the LHS instead of dy

[arpitakarmakar]

From which book you are giving these problems? Please suggest me

[georgesadler]

Professor Tambuwal, thank you for video/lecture on the Method of Separation of Variables in Differential Equations. There many errors in this video. Professor Tambuwal, you are missing absolute values after you integrated dx/x and dy/y for number of problems in the video. Please watch and correct each error in the video.

[Electrologia]

3:36 Sorry but it is not general solution. For general solution you have to find y. Not completely done.

[ogazboiz]

Pls help me with this separation variable
1) x²(y+1) + y²(x-1)dy/dx =0
2) ( 1+ ׳)dy/dx = x²y given that x = 1 when y = 2
3) x(y-3)dy/dx = 4y.
Please in a sheet of paper🙏🥺