LIVE Course for free

Rated by 1 million+ students

Login

Remember

Register

Test
JEE
NEET
Home
Q&A
Unanswered
Ask a Question
Learn
SWOS
Quizard

Join Bloom Tuition

One on One Online Tuition

JEE MAIN 2025 Foundation Course

NEET 2025 Foundation Course

CLASS 12 FOUNDATION COURSE

CLASS 10 FOUNDATION COURSE

CLASS 9 FOUNDATION COURSE

CLASS 8 FOUNDATION COURSE

Solve: x(dy + dx) = y(dx – dy).

← Prev Question Next Question →

0 votes

715 views

asked Jan 1, 2020 in Differential equations by Nakul01 (36.4k points)

Solve: x(dy + dx) = y(dx – dy).

differential equations
jee
jee mains

Share It On

Facebook Twitter Email

Please log in or register to add a comment.

Play Quiz Game >

1 Answer

+1 vote

answered Jan 1, 2020 by KumariMuskan (33.1k points)
selected Jan 2, 2020 by Nakul01

Best answer

The given differential equation is

x(dy + dx) = y(dx – dy)

Integrating, we get

tan^–1(x/y) = (1/2) log|(x² + y²)| + c

which is the required solution

Please log in or register to add a comment.

← Prev Question Next Question →

Find MCQs & Mock Test

JEE Main 2025 Test Series
NEET Test Series
Class 12 Chapterwise MCQ Test
Class 11 Chapterwise Practice Test
Class 10 Chapterwise MCQ Test
Class 9 Chapterwise MCQ Test
Class 8 Chapterwise MCQ Test
Class 7 Chapterwise MCQ Test

Related questions

0 votes

1 answer

Solve: y(dy/dx) + x = (1/2)((x^2 + y^2)/x)^2.

asked Jan 4, 2020 in Differential equations by Nakul01 (36.4k points)

differential equations
jee
jee mains

+1 vote

1 answer

Solve: (x^2 + y^2 + 1)dy + 2xydx = 0.

asked Jan 4, 2020 in Differential equations by Nakul01 (36.4k points)

differential equations
jee
jee mains

0 votes

1 answer

Solve: (y/x) + (dy/dx) = 1/(sin^4(xy) + cos^2(xy))

asked Jan 4, 2020 in Differential equations by Nakul01 (36.4k points)

differential equations
jee
jee mains

0 votes

1 answer

Solve: dy/dx = ((1 + y^2)/xy(1 + x^2))

asked Jan 4, 2020 in Differential equations by Nakul01 (36.4k points)

differential equations
jee
jee mains

0 votes

1 answer

Solve: ((1/y)sin(x/y) – (y/x^2)cos(y/x) + 1)dx + ((1/x)cos(y/x) - (x/y^2)sin(x/y) + (1/y^2)dy = 0.

asked Jan 3, 2020 in Differential equations by Nakul01 (36.4k points)

differential equations
jee
jee mains

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

All categories
JEE (36.4k)
- Physics (10.3k)
- Chemistry (10.2k)
- Mathematics (14.7k)
  - Sets, relations and functions (996)
  - Complex number and Quadratic equations (411)
  - Matrices & determinants (141)
  - Permutations and combinations (154)
  - Mathematical induction (12)
  - Binomial theorem (342)
  - Sequences and series (52)
  - Limit, continuity and differentiability (2.3k)
  - Integrals calculus (2.1k)
  - Differential equations (725)
  - Co-ordinate geometry (406)
  - Three-dimensional geometry (421)
  - Vector algebra (684)
  - Statistics and probability (255)
  - Trigonometry (688)
  - Mathematical reasoning (9)
NEET (9.2k)
Science (779k)
Mathematics (253k)
Statistics (3.0k)
Environmental Science (5.4k)
Biotechnology (699)
Social Science (126k)
Commerce (74.6k)
Electronics (3.9k)
Computer (21.5k)
Artificial Intelligence (AI) (3.3k)
Information Technology (19.1k)
Programming (13.1k)
Political Science (10.2k)
Home Science (8.1k)
Psychology (4.4k)
Sociology (6.9k)
English (66.5k)
Hindi (29.0k)
Aptitude (23.7k)
Reasoning (14.8k)
GK (25.8k)
Olympiad (534)
Skill Tips (90)
CBSE (858)
RBSE (49.1k)
General (72.7k)
MSBSHSE (1.8k)
Tamilnadu Board (59.3k)
Kerala Board (24.5k)

Send feedback
About Us
Privacy Policy
Terms of Use
Refund Policy
Copyright
Contact Us
FAQ
Advertise
Careers

User Contribution to Sarthaks eConnect

Managed by Sarthaks Digitizing India

...