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In each of the Exercises 1 to 5, form a ...

In each of the Exercises 1 to 5, form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.
1.`(x)/(a) + (y)/(b) = 1`

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The correct Answer is:
y '' = 0
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Knowledge Check

  • The differential equation of the family of curves y^(2)=4a(x+a) is -

    A
    `2y(dy)/(dx)=(d^(2)y)/(dx^(2))`
    B
    `(2x+y (dy)/(dx))(dy)/(dx)=y`
    C
    `y(d^(2)y)/(dx^(2))+((dy)/(dx))^(2)=0`
    D
    `y^(2)(dy)/(dx)+4y+1=0`

  • The differentiable equation of the family of curves y=A(x+B)^(2) after eliminating A and B is -

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

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    Differential equation of the family of curves v=A/r+B , where A and B are arbitrary constants, is

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    From the differential equation representing the family of curves y = A cos (x + b) , where A and B are parameters .

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