Home
Class 12
MATHS
The general solution of the differentia...

The general solution of the differential equation `(y dx-x dy)/y=0`is(A) `x y = C` (B) `x=C y^2` (C) `y = C x` (D) `y=C x^2`

Text Solution

AI Generated Solution

To solve the differential equation \((y \, dx - x \, dy)/y = 0\), we can follow these steps: ### Step 1: Rearranging the Equation We start with the given differential equation: \[ \frac{y \, dx - x \, dy}{y} = 0 \] This can be rearranged to: ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.6|19 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise Exercise 9.2|12 Videos

  • DETERMINANTS

    NCERT ENGLISH|Exercise All Questions|116 Videos

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.4|25 Videos

Similar Questions

Explore conceptually related problems

The general solution of the differential equation (2x-y+1)dx+(2y-x+1)dy=0 is -

The general solution of the differential equation y(x^(2)y+e^(x))dx-(e^x)dy=0 , is

The general solution of the differential equation sqrt(1-x^(2)y^(2)) dx = y dx + x dy is

Find the general solution of the differential equations: (x+3y^2)(dx)/(dy)=y(y >0)

The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is

The general solution of the differential equation (dy)/(dx)=e^(x+y) is (A) e^x+e^(-y)=C (B) e^x+e^y=C (C) e^(-x)+e^y=C (D) e^(-x)+e^(-y)=C

The general solution of the differential equation (dy)/(dx)=e^(x+y) is (A) e^x+e^(-y)=C (B) e^x+e^y=C (C) e^(-x)+e^y=C (D) e^(-x)+e^(-y)=C

The general solution of the differential equation y dx+(x+2y^2)dy=0 is a) x y+y^2=c b) 3x y+y^2=c c) x y+2y^3=c d) 3x y+2y^3=c

The general solution of the differential equation e^x dy + (y e^x + 2x) dx = 0 is(A) xe^y+x^2=C (B) xe^y+y^2=C (C) ye^x+x^2=C (D) ye^y+x^2=C

The general solution of the differential equation x^2(1+y^3)dx=y^2(1+x^3)dy is (A) (1+x^2)(1+y^2)=C (B) 1+x^3=C(1+y^3) (C) (x+y)(1+x^2+x^3)=C (D) x(1+y^2)=Cy(1+x^2)