Home
Class 12
MATHS
Find the particular solution of the dif...

Find the particular solution of the differential equation `(dy)/(dx)+ycotx=2x+x^2cotx (x!=0)` given that `y = 0` when `x=pi/2`.

Text Solution

AI Generated Solution

To find the particular solution of the differential equation \[ \frac{dy}{dx} + y \cot x = 2x + x^2 \cot x \quad (x \neq 0) \] given that \( y = 0 \) when \( x = \frac{\pi}{2} \), we will follow these steps: ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.3|12 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.5|17 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.4|23 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 particular solution of the differential equation.(dy)/(dx)+y cot x=4x csc x,(x!=0), given that y=0 when x=(pi)/(2)

Find the particular solution of the differential equation (dx)/(dy)+x cot y=2y^(2)cot y,y!=0 given that x=0 when y=(pi)/(2)

Knowledge Check

  • Find the particular solution of the differential equation x(x^(2)-1)(dy)/(dx) =1, it being given that y = 0 when x = 2.

    A
    `y = (1)/(2)log|(4(x^(2)-1))/(x^(2))|,`
    B
    `y = (1)/(2)log|(7(x^(2)-1))/(3x^(2))|,`
    C
    `y = (1)/(2)log|(4(x^(2)-1))/(3x^(2))|,`
    D
    `y = log|(4(x^(2)-1))/(3x^(2))|,`

    • Similar Questions

    Explore conceptually related problems

    Find the particular solution of the differential equation (dy)/(dx)+ycotx=2x+x^(2)cotx , it is given that at x=pi//2 , y=0

    Find the particular solution of the differential equation x(dy)/(dx)=y+x cosec ((y)/(x))=0; given that y=0 when x=1

    Find the particular solution of the differential equation x(dy)/(dx) - y = (x + 1 ) e^(-x) given that y = 0 when x = 1 .

    Find the particular solution of the differential equation x(dy)/(dx)+y-x+xy cot x=0;x!=0, given that when x=(pi)/(2),y=0

    Find a particular solution of the differential equation (dx)/(dy)+y cot x=1(x!=0)4x cos ecx(x!=0) given that when x=(pi)/(2)

    Find the particular solution of the differential equation cos x (dy )/(dx) + y = sin x , given that y = 2 when x = 0 .

    Find the particular solution of the differential equation xy(dy)/(dx) =(x+2) (y+2), it being given that y = -1 when x = 1.

    Home
    Profile