You are complicating in order to find the solution of exact differential equation, It could be easy if you use int(M)dx+int(N)dy=c where in M all the y are constant and in N all the x terms are zero... all though a very nice explaination
The first 3 rules should be applied to every question of MDX+NDY until it's a function of x or y. So isn't it time consuming process?? Is there any trick to know which rule is applicable to a particular question!
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Thanks JazakAllah for sharing knowledge but the delta which you call partial differential is it different from normal derivative symbol if not why it has this unique name?
Maam in example no. 2, can I do the integration by parts on the part of integration of h'(x). The answer that I've got is y²e^x + x²e^x - 2e^x=c, I think the answer is the same but in differ procedure if I'm not mistaken 😅. Thanks for your response 😁😁
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Hello mam For the third example (3y+4xy^2)dx+(2x+3x^2y)dy=0 I say that dy/dx +my/nx (m is the power of x and n is the power of n) dy/dx + 3y/2x gives us the function f=x^3y^2 and dy/dx +4xy^2/3x^2y gives us dy/dx +4y/3x and this will give us that g=x^4y^3 F(x,y)=f(x,y)+g(x,y) F=x^3y^2+x^4y^3=c solution without integration. Also if f=x^3y^2 then Partial df/partial dy=2x^3y=mu(2x) So mu=x^2y (Alsultani I.F.) F=f+int.mu(4xy^2)dx F=x^3y^2+int.x^2y(4xy^2)dx F=x^3y^2+x^4y^3+c F=x^3y^2(1+xy)+c Thank you very much
Dear! In 3rd question, it doesn't make equation exact even after multiplying it with integration factor because (∂f/∂y)≠(∂f/∂x). It'll be a great favor if you can more explain it.
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for clear voice and reasonable examples... thanks a lot mam😍
I AM GRATEFUL TO LEARN FROM THIS CHANNEL. IT HELPED ME MASSIVELY DURING EXAMS.
Wadi mehrbani mam Mola abad rakhe best explanation ❤❤❤
Thank you ma'am for your great vdo it helps me alot and your teaching is very understood able 🥰🥰🥰🥰🥰🥰
Ma'am apki method boht outstanding yar. Wasy method say ziada apki awaz mujhe achi lagti hai. Really.
Very helpful video. Very good way of interpretation.
May God bless all Indians for their massive help in the online self education sector 🙏🏾
thank u sooo much ma`am . it is really very helpful
Thank u so much medam .my doubt is clear
Nice explanation☄....thankyou for helping😇
You are complicating in order to find the solution of exact differential equation, It could be easy if you use int(M)dx+int(N)dy=c where in M all the y are constant and in N all the x terms are zero... all though a very nice explaination
Very good video 👍👍👍👌👌👌 thanks alot and keep it up mam
Nice teaching way ....👍👍
Thanks mam but hme ye kese pta chlega ki kon sa rule kha lgana h
Thanks Maam it helped me alot to understand such a tough topic on ODEs.
Reading krny ka shukria 🙄
The first 3 rules should be applied to every question of MDX+NDY until it's a function of x or y. So isn't it time consuming process?? Is there any trick to know which rule is applicable to a particular question!
Have u found it?
yes it is time consuming
Which term seems less will be in denominator..
4 rules for y 3 rules for x function 2 rules for function which have y and x in multiplication and 1 is applicable for every one
Very nice mam
I really appreciate it 👍
Tq mam for making this video
I likes when you say "right"
Yeh comment krna zarori tha kia me ab lecture par focus nhi kar paa raha 😅
Nice
Thank you very much 👍👍
Wonderful explanation
Thanks a lot,👍
Thanks 👍👍
Bahot achha tha madam also helpful
Thanks for good explanation !
thank you very much ma'am
Please the answer of example 4 is ln(square.x +square y) to exponential 1/2_ arctan(x/y)
Thank you very much
Awesome👏✊👍 💐💐💐💐
Good
Thanks..
Thank you so much ma'am 😊
Very helpful
Thanks a lot 😊
Thanks helped a lot ♥️
I'd like to see you proving sth... where are those formulas coming from?
The formula to find the integrant factors in that case.
The last one mainly.
Thanks, it helped
Very helpful😙
NYC
Thanks a lot madam 🙏
Thanks ☺️
Kia baat hai ma’am. Buhat khoob MA. Allah aap ko is ka ajar de ameen.
@ formula foundation usindh suggest the book for practice of these type of problems?
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Thanks you mam
Thank you ma'am
Thanks, mam. You explain well.
Plot twist:she is not a man
@@dontreadmyusername6787 I couldn't get what you said? 🤔
Thanks
Learned more in 7 minutes here than I did in hours of class
Thanks mam
Thanks mam🙏🏻🙏🏻🙏🏻
In my book answer of questions 2 is different ?
Thank you mam ...
Nice effort, good questions.
But methods used are too lengthy, also 3rd answer is wrong...
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Refer to this
great
zabardast
Outstanding it's very helpful.
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alaka ta pe sa k mara
@@awaisgohar7388 engineer ho harpane mola e arsa ba ezda kai ror miii.
@@afaqahmad708 Awo da khu da bas yo hal d 😁
@@awaisgohar7388 Hhahahahah
Level and time saving, Love you, I wish you would be my ODE's instructor.
thanks mam for clearing the concept superb
Mam why 1 is the function of x
In Q1 while applying rule 2, you've written -2 instead of +2 due to which the whole answer became wrong
Thank u so much this has cleared my doubt! 🙏
Kaise pta chalega formula kon sa lagega
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Thanks mam for such a useful video 🥰
if the differential equation is homogenous then why we have to solve it as exact equation not by homogenous method
Thanks JazakAllah for sharing knowledge but the delta which you call partial differential is it different from normal derivative symbol if not why it has this unique name?
Yes, it is a very different thing. You would study about this in higher studies.
Maam in example no. 2, can I do the integration by parts on the part of integration of h'(x). The answer that I've got is y²e^x + x²e^x - 2e^x=c, I think the answer is the same but in differ procedure if I'm not mistaken 😅. Thanks for your response 😁😁
Ya ofcourse
Bhai how to know a function is homogeneous
@@vishalpatial5839 degree of each and every term must be checked. If degree of whole equation is same then it is homogenous
Thanks madam
Mam 1or 2 example m hmey kase PTA lgega ki rule 1 or 2 hi check krna h
Bohot batreeeeen!!!!
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Good effort appreciated
Superb explanation ..👏👏
Thnx ma'am.
Dono me se kisi ko bhi M ya N man lenge kya mam?
I suggest you do it as I did because if you choose M in place of N and vice versa then you have to make some other changes also…
@@FormulaFoundationUsindh thank you mam
@@FormulaFoundationUsindh it's better to consider (...)dx=N & (...)dy=M.
I have a difficult questions plz help me
Noice!!!
But there are five rules for converting nonexact to exact by multiplying integrating factor
thanku
Hlo mam please prove the rule 3and rule4
Bien explicado colega
👏👏👏👏👏
Ma'am from which book you wrote the examples at 3:52
Superr
3 aar 4 ta mam After multiplication IF then It is not exact.How do solve it?
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Recheck 4 is exact but i think 3 may be or not
MashaAllah mam awesome
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Mam ye bahot bada iska aur chota method bi he hk das me ... After multiplying IF.. We have to only solve the integration
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Mam vo aap na phala jo rule 1 laga ya ha us may aap na dM/dy la leya ha M.*y ki place may
👌👌👌👌
Why did you integrate df/dy why not df/DX???
Mam sub kuch acha h per video me thodi si voice taje karlo please 🙏
okk..
Is there any chance that if we solve Q1 by homogeneous substitution method, we get the same answer as given?
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Refer to this
👍👌
O wow
Mujhe ODE ki pdf milegi kya please
Please I have new ideas to solve the non exact D.Es and I want to submit an article in India.
Can I ?
I am mechanical engineer.
G
Idea??
Hello mam
For the third example
(3y+4xy^2)dx+(2x+3x^2y)dy=0
I say that
dy/dx +my/nx (m is the power of x and n is the power of n)
dy/dx + 3y/2x gives us the function f=x^3y^2 and dy/dx +4xy^2/3x^2y gives us
dy/dx +4y/3x and this will give us that g=x^4y^3
F(x,y)=f(x,y)+g(x,y)
F=x^3y^2+x^4y^3=c solution without integration.
Also if f=x^3y^2 then
Partial df/partial dy=2x^3y=mu(2x)
So mu=x^2y (Alsultani I.F.)
F=f+int.mu(4xy^2)dx
F=x^3y^2+int.x^2y(4xy^2)dx
F=x^3y^2+x^4y^3+c
F=x^3y^2(1+xy)+c
Thank you very much
i was solving my assignment and it had the same question as yours(question 4).....so copy paste it
hahaha
Dear! In 3rd question, it doesn't make equation exact even after multiplying it with integration factor because (∂f/∂y)≠(∂f/∂x). It'll be a great favor if you can more explain it.
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@@FormulaFoundationUsindh you didn't even read his comment
Right bro👍
😂😂😂😂
Yes ! Third answer is wrong..
Right answer is --> -3log(y+1/x) + 4log (xy+1) + c= 0
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Love u from soul ❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Mam plz resolve question 3 plz ( i think i am unable to find the value of dM/dy and dN/dy )