3x^3y^2dx-xydy=0

Please solve differential equation by separation
in Calculus Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Given 3x^3y^2dx-xydy=0
3x^3y^2 dx=xydy
3x^3/x dx=y/y^2 dy
3x^2 dx= 1/y dy

Integrate on both side
3x^3/3=log y
x^3=log y
y=e^(x^3)+c

Calculus Tutor - http://math.tutorvista.com/calculus.html

by Level 8 User (30.1k points)

Related questions

1 answer
evaluate the integral of c (xydy-y^2dx)
asked Apr 28, 2013 in Calculus Answers by anonymous | 1.3k views
18 answers
solve: differential equation (2x^2 -y^2) dx -xydy=0
asked Feb 12, 2014 in Calculus Answers by Jennifer A. Cascaño Level 12 User (101k points) | 2.8k views
12 answers
solve: (2x^2-y^2)dx-xydy=0
asked Jan 11, 2014 in Algebra 2 Answers by Jennifer A. Cascaño Level 12 User (101k points) | 2.1k views
1 answer
x^2dx+y(x-1)dy=0
asked Sep 7, 2017 in Calculus Answers by anonymous | 4.0k views
1 answer
xy^2dx+x^2ydy=0
asked Apr 17, 2013 in Calculus Answers by anonymous | 2.1k views
11 answers
please solve: x^2dx+y•(x-1)dy=0
asked Jan 11, 2014 in Algebra 2 Answers by Jennifer A. Cascaño Level 12 User (101k points) | 1.5k views
1 answer
what the value of x^2dx
asked Sep 10, 2012 in Calculus Answers by anonymous | 730 views
1 answer
-3/2dx / (x^2+x+1)
asked Jan 30, 2012 in Calculus Answers by anonymous | 737 views
1 answer
∫1/(x2+4)2dx
asked May 16, 2019 by anonymous | 464 views
1 answer
(2y-(1/x)+cos(3x))(dy/dx)+(y/x^2)-(4x^3)+3y sin(3x)=0
asked Sep 27, 2012 in Calculus Answers by anonymous | 4.6k views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,279 answers
2,420 comments
732,425 users