Home
Class 12
MATHS
Find the order of the differential equat...

Find the order of the differential equation obtained by eliminatiing the arbitrary constant b and c from
`xy=ce^(x)+be^(-x)+x^(2). `

Text Solution

Verified by Experts

The correct Answer is:
The order is 2.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 8(b)|17 Videos

  • DIFFERENTIAL EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 8(c)|23 Videos

  • DIFFERENTIAL EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 8(e)|25 Videos

  • DEFINITE INTEGRALS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Question|3 Videos

  • ELLIPSE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE 4(B)|15 Videos

Similar Questions

Explore conceptually related problems

Form the differential equation by eliminating the arbitrary constant from the equation y = ax^(2) + be^(-x)

Form the differential equation by eliminating the arbitrary constant from y = A cos 3x + B sin 3x

Knowledge Check

  • The differential equation obtained by eliminating the arbitrary constants a and b from xy=ae^(x)+be^(-x) is

    A
    `x.(d^(2)y)/(dx^(2))+2.(dy)/(dx)-xy=0`
    B
    `(d^(2)y)/(dx^(2))+2y.(dy)/(dx)-xy=0`
    C
    `x.(d^(2)y)/(dx^(2))+2.(dy)/(dx)+xy=0`
    D
    `(d^(2)y)/(dx^(2))+(dy)/(dx)-xy=0`

  • The differential equation obtained by eliminating the arbitrary constant a and b from xy = ae^(x) + be^(-x) is

    A
    `x(d^(2)y)/(dx^(2)) + 2 (dy)/(dx) - xy = 0`
    B
    `(d^(2) y)/(dx^(2)) + 2y (dy)/(dx) - xy = 0`
    C
    `x (d^(2)y)/(dx^(2)) + 2 (dy)/(dx) -y = 0`
    D
    `(d^(2) y)/(dx^(2)) + (dy)/(dx) - xy = 0`

  • Form the differential equation by eliminating the arbitrary constant from the equation xy = ae^(x) + be^(-x) + x^(2)

    A
    `x (d^(2)y)/(dx^(2)) + 2 (dy)/(dx) +x^2 - xy = 2`
    B
    `x (d^(2)y)/(dx^(2)) + 2 (dy)/(dx)+x^2 + xy = 2`
    C
    `x (d^(2)y)/(dx^(2)) -2 (dy)/(dx)+x^2 - xy = 2`
    D
    `x(d^(2) y)/(dx^(2)) - 2 (dy)/(dx)+x^2 + xy = 2`

    • Similar Questions

    Explore conceptually related problems

    Form the differential equation by eliminating the arbitrary constant from the equation y = a cos (2x + b)

    From the differential equation by eliminating the arbitrary constant from the equations y = a (x - a)^(2)

    Form the differential equation by eliminating the arbitrary constant from the equation y = ax^(3) + bx^(2)

    Form the differential equation by eliminating the arbitrary constant from the equation (y-b)^(2) = 4 (x-a)

    Form the differential equation by eliminating the arbitrary constant from the equation x^(2) + y^(2) - 2ay - a^(2) = 0

    Home
    Profile