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The particular solution of the differnti...

The particular solution of the differntial equation ` x dy` + `2y dx = 0 `, when x=2 , y=1 is

A

`xy=4`

B

`x^(2)y=4`

C

`xy^(2)=4`

D

`x^(2)y^(2)=4`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The particular solution of the differential equation log ((dy)/(dx)) = x , when x = 0 , y = 1 is …..

    A
    `y = e^(x) + 2`
    B
    `y = - e^(x)`
    C
    `y = - e^(x) + 2`
    D
    `y = e^(x)`

  • The particular solution of the differential equation x dy+2y dx=0, at x=2, y=1 is

    A
    xy=4
    B
    `x^(2)y=4`
    C
    `xy^(2)=4`
    D
    `x^(2)y^(2)=4`

  • The particular solution of the differential equation y(1+log x)(dx)/(dy)-x log x=0 when x=e,y=e^(2) is

    A
    `y=ex log x`
    B
    `ey = x log x`
    C
    `xy=e log x `
    D
    `y log x=ex`

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