Home
Class 12
MATHS
If (1-y)x (dy)/(dx) +(1+x) y=0 then solu...

If `(1-y)x (dy)/(dx) +(1+x) y=0` then solution of above equation is

A

`log xy +x+y=c`

B

`log xy +x-y=c`

C

`log xy -x-y=c`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    ML KHANNA|Exercise Problem Set (1) (TRUE AND FALSE)|8 Videos

  • DIFFERENTIAL EQUATIONS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS)|9 Videos

  • DETERMINANTS

    ML KHANNA|Exercise Self Assessment Test |19 Videos

  • DIFFERENTIATION

    ML KHANNA|Exercise MESCELLANEOUS EXERCISE|3 Videos

Similar Questions

Explore conceptually related problems

If x(dy)/(dx)=y(log y -logx+1), then the solution of the equation is

If (dy)/(dx)= y sin 2x, y(0)=1 , then solution is

If y_(1)(x) is a solution of the differential equation (dy)/(dx)+f(x)y=0 then a solution of differential equation (dy)/(dx)+f(x)y=r(x) is

If y_(1)(x) is a solution of the differential equation (dy)/(dx)-f(x)y = 0 , then a solution of the differential equation (dy)/(dx) + f(x) y = r(x) is

(i) The degree of the differential equation (d^(2)y)/(dx^(2))+e^(dy//dx)=0 is… (ii) The degree of the differential equation sqrt(1+((dy)/(dx))^(2))="x is"....... (iii) The number of arbitrary constant in the general solution of differential equation of order three is.. (iv) (dy)/(dx)+(y)/(x log x)=(1)/(x) is an equation of the type.... (v) General solution of the differential equation of the type is givven by... (vi) The solution of the differential (xdy)/(dx)+2y=x^(2) is.... (vii) The solution of (1+x^(2))(dy)/(dx)+2xy-4xy^(2)=0 is... (viii) The solution of the differential equation ydx+(x+y)dy=0 is .... (ix) Genergal solution of (dy)/dx)+y=sin x is.... (x) The solution of differential equation cot y dx=xdy is.... (xi) The integrating factor of (dy)/(dx)+y=(1+y)/(x) is.....

If y = y (x) is the solution curve of the differential equation x^2dy + (y - 1/x) dx = 0, x gt 0 , and y(1) = 1, " then " y (1/2) is equal to

If y = y (x) is the solution curve of the differential equation x^2dy + (y - 1/x) dx = 0, x gt 0 , and y(1) = 1, " then " y (1/2) is equal to

The solution of the differential equation (y^(2)+2x) (dy)/(dx)=y satisfies x=1, y=1. Then, the solution is

The solution of the equation (dy)/(dx)=(1)/(x+y+1) is