How To Solve Differential Equations | By Separation Of Variables
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- เผยแพร่เมื่อ 10 พ.ย. 2024
- #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
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These are legitimately the best videos to watch to learn how to solve differential equations. Thank you so much you are appreciated.
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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
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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???
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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🙏🥺
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
Kindly indicate the minutes on the video exactly where I wrote it, thank you
15:38
I need help in understanding calculus
From which book you are giving these problems? Please suggest me
I used to create them
3:36 Sorry but it is not general solution. For general solution you have to find y. Not completely done.
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.
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🙏🥺