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Find the differential equation representing the family of curves y=asin (x+b), where a,b are arbitrary constants.

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Form the differential equation representing the family of curves y= asin(x+b) where a,b are arbitrary constant.

Form the differential equation representing the given family of curves y= asin(x+b) where a,b are arbitrary constants.

Knowledge Check

  • The differential equation which represents the family of curves y=c_1e^(c_2x) where c_1 and c_2 are arbitrary constants , is :

    A
    `y'=y^2`
    B
    `y''=y'y`
    C
    `yy''=y'`
    D
    `yy''=(y')^2`

  • The differential equation for the family of curves x^2+y^2-2ay=0 , where a is an arbitrary constant , is :

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

  • The differential equation for the family of curves x^2+y^2-2ay=0 , where a is an arbitrary constant , is :

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

    • Similar Questions

    Explore conceptually related problems

    Form the differential equation representing the family of curves y = a sin ( x + b) , where a, b are arbitrary constants.

    Form the differential equation representing the family of curves y = qx where, q is arbitrary constant.

    Form the differential equation representing family of curve (x)/(a)+(y)/(b) =1 where a and b are arbitrary constants .

    The differential equation corresponding to the family of curves y=e^x (ax+ b) is

    Write the differential equation representing the curve y^(2) = 4ax , where a is an arbitrary constant.

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