JEE Exam > JEE Questions > Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y...
Start Learning for Free
Solution of (x+y-1) dx+(2x+2y-3) dy = 0 is
- a)y+x+log (x+y-2)=c
- b)y+2x+log (x+y-2)=c
- c)2y+x+log(x+y-2)=c
- d)2y+2x+log(x+y-2)=c
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y+x+log (x+y-2)=cb)y+2x+lo...
Given differential equation is (x y-1) dx + (2x 2y-3) dy = 0
Separating variables
(x y-1) dx = -(2x 2y-3) dy
Integrating both sides
∫ (x y-1) dx = -∫ (2x 2y-3) dy
=> 1/2 x^2 y - x = -x^2 y + 3y + C
Simplifying the above equation
=> 2x^2 y - 2x = -x^2 y + 3y + C
=> x^2 y = 2x + 3y + C
Taking logarithm on both sides
=> log(x^2 y) = log(2x + 3y + C)
=> log(x y^2) = log(2x + 3y + C)
Therefore, the answer is option (a) y x log(x y-2) = c.
Separating variables
(x y-1) dx = -(2x 2y-3) dy
Integrating both sides
∫ (x y-1) dx = -∫ (2x 2y-3) dy
=> 1/2 x^2 y - x = -x^2 y + 3y + C
Simplifying the above equation
=> 2x^2 y - 2x = -x^2 y + 3y + C
=> x^2 y = 2x + 3y + C
Taking logarithm on both sides
=> log(x^2 y) = log(2x + 3y + C)
=> log(x y^2) = log(2x + 3y + C)
Therefore, the answer is option (a) y x log(x y-2) = c.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y+x+log (x+y-2)=cb)y+2x+log (x+y-2)=cc)2y+x+log(x+y-2)=cd)2y+2x+log(x+y-2)=cCorrect answer is option 'C'. Can you explain this answer?
Question Description
Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y+x+log (x+y-2)=cb)y+2x+log (x+y-2)=cc)2y+x+log(x+y-2)=cd)2y+2x+log(x+y-2)=cCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y+x+log (x+y-2)=cb)y+2x+log (x+y-2)=cc)2y+x+log(x+y-2)=cd)2y+2x+log(x+y-2)=cCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y+x+log (x+y-2)=cb)y+2x+log (x+y-2)=cc)2y+x+log(x+y-2)=cd)2y+2x+log(x+y-2)=cCorrect answer is option 'C'. Can you explain this answer?.
Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y+x+log (x+y-2)=cb)y+2x+log (x+y-2)=cc)2y+x+log(x+y-2)=cd)2y+2x+log(x+y-2)=cCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y+x+log (x+y-2)=cb)y+2x+log (x+y-2)=cc)2y+x+log(x+y-2)=cd)2y+2x+log(x+y-2)=cCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y+x+log (x+y-2)=cb)y+2x+log (x+y-2)=cc)2y+x+log(x+y-2)=cd)2y+2x+log(x+y-2)=cCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y+x+log (x+y-2)=cb)y+2x+log (x+y-2)=cc)2y+x+log(x+y-2)=cd)2y+2x+log(x+y-2)=cCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y+x+log (x+y-2)=cb)y+2x+log (x+y-2)=cc)2y+x+log(x+y-2)=cd)2y+2x+log(x+y-2)=cCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y+x+log (x+y-2)=cb)y+2x+log (x+y-2)=cc)2y+x+log(x+y-2)=cd)2y+2x+log(x+y-2)=cCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y+x+log (x+y-2)=cb)y+2x+log (x+y-2)=cc)2y+x+log(x+y-2)=cd)2y+2x+log(x+y-2)=cCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y+x+log (x+y-2)=cb)y+2x+log (x+y-2)=cc)2y+x+log(x+y-2)=cd)2y+2x+log(x+y-2)=cCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Solution of (x+y-1) dx+(2x+2y-3) dy = 0 isa)y+x+log (x+y-2)=cb)y+2x+log (x+y-2)=cc)2y+x+log(x+y-2)=cd)2y+2x+log(x+y-2)=cCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup