Home
Class 12
MATHS
Find the general solution of the differ...

Find the general solution of the differential equations:`xlogx(dx)/(dy)+y=2/xlogx`

Text Solution

AI Generated Solution

To solve the differential equation \( x \log x \frac{dy}{dx} + y = \frac{2}{x \log x} \), we will follow these steps: ### Step 1: Rewrite the Equation First, we rewrite the given differential equation in a standard form: \[ x \log x \frac{dy}{dx} + y = \frac{2}{x \log x} \] Dividing the entire equation by \( x \log x \): ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.4|23 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise SOLVED EXAMPLES|28 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise Miscellaneous Exercise|18 Videos
  • DETERMINANTS

    NCERT|Exercise EXERCISE 4.4|5 Videos
  • INTEGRALS

    NCERT|Exercise EXERCISE 7.4|25 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of the differential equations: (x+y)(dx)/(dy)=1

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

Find the general solution of the differential equations: (dx)/(dy)+2y=sin x

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

Find the general solution of the differential equation x log x*(dy)/(dx)+y=(2)/(x)*log x

Find the general solution of the differential equation (dy)/(dx)-y=cos x

Find the general solution of the differential equation log((dy)/(dx))=(ax+by).

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

Find the general solution of the differential equations y log y dx x dy =0

Find the general solution of the differential equations (dy)/(dx)+y=1(y!=1)