Home
Class 12
MATHS
For each of the differential equations i...

For each of the differential equations in Exercises 1 to 10, find the general solution:
1.`(dy)/(dx) = (1 - cos x)/(1 + cos x)`

Text Solution

Verified by Experts

The correct Answer is:
`y = 2tan (x)/(2)-x + C`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT GUJARATI|Exercise EXERCISE - 9.5|17 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT GUJARATI|Exercise EXERCISE - 9.6|19 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT GUJARATI|Exercise EXERCISE - 9.3|12 Videos

  • DETERMINANTS

    NCERT GUJARATI|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

  • INTEGRALS

    NCERT GUJARATI|Exercise EXERCISE 7.12|41 Videos

Similar Questions

Explore conceptually related problems

For each of the differential equations given inExercises 1 to 12, find the general solution : 1. (dy)/(dx) + 2y = sin x

For each of the differential equations in Exercises from 11 to 15, find the particular solution satisfying the given condition : 11. ( x + y) dy + ( x - y) dx = 0, y = 1 when x = 1

For each of the differential equations in Exercises 11 to 14, find a particular solution satisfying the given condition: 11. (x^(3) + x^(2) + x+ 1)(dy)/(dx) = 2x^(2) + x, y = 1 when x = 0.

The general solution of 4sin^(4) x + cos^(4) x=1 is

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find (dy)/(dx) . x= a cos theta, y= b cos theta .

Find the general solution of sin^3x + cos^(3)x+(3)/(2)sin 2x=1

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find (dy)/(dx) . x= a (cos theta+ theta sin theta), y= a (sin theta-theta cos theta) .

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find (dy)/(dx) . x = sin t, y= cos 2t .

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find (dy)/(dx) . x= a(cos t+ log tan (t)/(2)), y= a sin t .

Find the general solution of the differential equation (dy)/(dx) - y = cosx.

Home
Profile