Differential Equation | Reducible Into Separation Of Variable - Concept & Example By GP Sir

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This video lecture on Differential Equation | Variable Separable Method - Concept & Example By GP Sir With Concept & Example By GP Sir | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand the following topic of Mathematics:
1. What is Differential Equation
2. What is Reducible Into Separation Of Variable
3. Example Of Reducible Into Separation Of Variable
4. Concept Of Differential Equation
5. This is helpful For CSIR NET, IIT-JAM, GATE Exams.
6. This is Part Of the Differential Equation.
#DifferentialEquation #Reducible #Concept #Example #ShortTrick #EngineeringMahemaics #BSCMaths #GATE #IITJAM #CSIRNET
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech & M.Sc./M.Tech. students also preparing for NET, GATE, and IIT-JAM Aspirants.
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Time Stamp
0:00 - An introduction
1:08 - Reducible to separation of variable
2:18 - Working process for reducible to separation of variable
2:30 - Q1. Based on reducible to separation of variable
4:49 - Q2. Based on reducible to separation of variable
6:32 - Q3. Based on reducible to separation of variable
9:12 - Q4. Based on reducible to separation of variable
13:23 - Q1. answer asked in Comment box based on reducible to separation of variable
13:42 - Detailed about old videos

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Dr.Gajendra Purohit

[nousar]

Option C
Approx time 2.5 minutes
It is given that
Dy/dx -4 =(4x+y+1)^2
Let, 4x+y+1=t
Then differentiate it w.r.t x
4+dy/dx=dt/dx
dy/dx=(dt/dx)-4
Now putting the value of dy/dx in eqn. (i)
Dt/dx -4=t^2
dt/dx=4+t^2
Variable separation:
dt/4+t^2=dx
dt/(2)^2+t^2=dx
Now integrating b/s
✓dt/(2)^2+t^2=✓dx+c
By using formula i.e., ✓1/(a)^2+x^2=1/2tan`x/2
Therefore,
1/2tan`t/2=x+c
Substitute the value of t
Therefore,
1/2tan`4x+y+1/2=x+c
Since tan`=1/tan
Therefore,
1/2*1/tan*4x+y+1/2=x+c
4x+y+1/2tan2=(x+c)
Cross multiplication,
4x+y+1=2tan2(x+c)
Hence answer is option C

[rohitkumarpandey]

Option (C) is the Correct answer. Approx. 2 minutes. Thank You Sir....!🙂

[Akash_Yadav]

C) 4x + y + 1 = 2tan(2x+2c) is the correct answer

[shikhapandey]

Sir I just tell you you r one of the best teacher the way you clear concepts then giving example just
No matter who is saying what what comments you get it just matter for whom you r honorable respectable be available for that on making videos the way you was with same interest potential....

[amt-anujmanitripathi]

Option C : 2.tan2.(x+c) = 4x+ y +1 is correct.
Thanks.

[aniketkumar]

option C is correct option of this question i.e. 4x+y+1=2tan2(x+c)

[nothing_man_]

Option (C) is the Correct answer. 1.5 min . Great lecture sir ji ....Thank you so much.

[vrindasharma]

He is a great teacher no doubt and I majorly study all my math concepts from him but sometimes it gets really difficult to understand without any basic explanation during practice questions.😢

[divyagupta]

option c is correct . just cant tell how uch help u r doing by these vdos u r fabulous sir


🙏👌👌👌👌👌🙏🙏

[Consistentguy_]

Option (C) is the correct answer. It was easy level question. But please share the answers of the hw questions in the follwing lecture if it is tricky or difficult. It may be a very small step but it saves a lot of time for students and makes the solving more convenient.

[qaiserbozdar]

Greetings from Indus Valley: Sir use your classic Green board. It looks good for Mathematics Teacher. Doing Mathematics on Green board with chalk is a Loving art and good quality for an instructor.

[chandankumargupta]

Sir make a video on" conjugacy relation, class equation, solvable groups, cauchy theorems, sylows first theorem"

[tanujajoshi]

C is correct option 4x+y+1=2tan2(x+c)
Time:4min

[abdulahadshadhin]

Thank you sir
c is the correct answer.

[chandankumargupta]

Sir make a video on " automorphism groups And their computation "

[HarshilAndhariya]

The Correct Ans is Option C.
4X +y + 1 = 2tan(2(x + c))
approx 1.5 min
Thank You Sir !!

[chandankumargupta]

Sir also make a video on "abelianizing of a group And its universal property"

[rohansasidharan]

Legends visting this channel one day before the

[SonuKumar-lqpj]

option c is the correct answer. approx 1.5 minutes .
thanku so much sir

[chandankumargupta]

Sir also make a video on "structure theorem for finite abelian groups" please sir