Home
Class 12
MATHS
Express the following differential equat...

Express the following differential equations in the form `(dx)/(dy) = F((x)/(y))`
(i) `(1+e^((x)/(y)))dx + e^((x)/(y))(1-(x)/(y))dy = 0`
(ii) `xdy - ydx + y e^(-(2x)/(y)) dy = 0`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(dx)/(dy) = (e^((x)/(y))[(x)/(y)-1])/(1+e^((x)/(y))) ` (ii) `(dx)/(dy) = (x)/(y)+e^(-2((x)/(y)))`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Excerise - 4.3 (Short Answer Questions)|10 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - 4.4 (Very Short Answer Questions)|1 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - 4.2 (Short Answer Questions)|9 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

Solve (1+e^((x)/(y)))dx+e^((x)/(y)) (1-(x)/(y))dy=0

Express the following differential equation in the form f(x)dx+g(y)dy=0 . (dy)/(dx)=e^(x-y)+x^(2)e^(-y)

Express the following differential equation in the form f(x)dx+g(y)dy=0 . (dy)/(dx)=(1+y^(2))/(1+x^(2))

Solve (1+2e^(x//y))dx + 2e^(x//y) (1-(x)/(y))dy = 0

Express the following differential equation in the form f(x)dx+g(y)dy=0 . (dy)/(dx)+x^(2)=x^(2)e^(3y)

Solve the following differential equations. (dy)/(dx)-y=-2e^(-x)

Solve the following differential equations. (dy)/(dx)=(x-y)/(x+y)

Solve the following differential equations. (dy)/(dx)=e^(x-y)+x^(2)e^(-y)

Solve the following differential equations. x(dy)/(dx)+y=(1+x)e^(x)

Express the following differential equations in the form (dy)/(dx) = F((y)/(x)) . (i) xdy - ydx = sqrt(x^(2) + y^(2))dx (ii) [x - y Tan^(-1)((y)/(x))] dx + x Tan^(-1)((y)/(x)) dy = 0 (iii) xdy = y(log y - log x+1)dx