xdy/dx=1-y^2

Solving differential equations
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

xdy/dx=1-y^2

cross-multiply to get,

1/(1 - y^2) dy = 1/x dx

integrate both sides,

int 1/(1 - y^2) dy = int 1/x dx

atanh(y) = ln(Ax)

y = tanh(ln(Ax))

by Level 11 User (81.5k points)

Related questions

1 answer
y(2 x y+e^x)dx=e^xdy
asked Sep 18, 2013 in Calculus Answers by anonymous | 2.4k views
1 answer
xy^3dx + (y+1)e^-xdy=0
asked Aug 11, 2014 in Calculus Answers by lanie | 8.8k views
1 answer
xy^3dx + (y+1)e^-xdy
asked Aug 19, 2019 in Other Math Topics by Joseph | 1.9k views
1 answer
x3y3(2ydx+xdy)-(5ydx+7xdy)=0
asked Nov 20, 2014 in Pre-Algebra Answers by abc123 Level 1 User (120 points) | 5.0k views
1 answer
how to integrate 1/(1+4x^2)dx with limit 0 to 1/2
asked Apr 6, 2016 in Calculus Answers by anonymous | 2.3k views
1 answer
evaluate the definite intergral top is 3 and bottom is 1 (3x^2+2x)dx
asked Sep 14, 2015 in Calculus Answers by masoya n marthinus | 606 views
1 answer
Integrate (sec^3 x) dx
asked Apr 14, 2014 in Calculus Answers by anonymous | 1.1k views
1 answer
integrate (sin^6 x) dx
asked Apr 11, 2014 in Calculus Answers by anonymous | 1.4k views
1 answer
integrate (1 + x^2)^1/2 dx
asked Apr 10, 2014 in Calculus Answers by anonymous | 875 views
1 answer
integrate x^2 (1-x^3)^5 dx
asked Apr 8, 2014 in Calculus Answers by anonymous | 878 views
1 answer
find the indefinite integral: ∫ sin^6 x dx
asked Apr 3, 2014 in Calculus Answers by G11 Level 1 User (140 points) | 1.0k views
1 answer
x²=y² dy/dx
asked Mar 11, 2014 in Calculus Answers by RE Dot Ro Level 1 User (120 points) | 1.5k views
1 answer
how to intergral (x^2+2x-1)exp(x+1/x)dx?
asked Dec 15, 2013 in Calculus Answers by lawliet Level 1 User (260 points) | 865 views
1 answer
integral sqrt(25-4x^2) / x dx
asked Dec 12, 2013 in Calculus Answers by anonymous | 3.4k views
1 answer
dx/√9x-4x^2
asked Nov 23, 2013 in Calculus Answers by Salman | 737 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. complete the following. 825 use each digit once .make the two smallest 3 digit numbers and two largest 3-digit number (2)
  4. Solve 15 -1(12÷4+1)? (4)
  5. 8:4(5+2) (3)

Most popular tags

87,551 questions
99,638 answers
2,417 comments
442,381 users