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A homogeneous differential equation of the dxdy=h(xy) can be solved by making the substitution. -

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Question

A homogeneous differential equation of the `(dx)/(dy) = h(x/y)` can be solved by making the substitution.

Options

  • `y = vx`

  • `v = yx`

  • `x = vy`

  • `x = v`

MCQ

Solution

`x = vy`

Explanation:

For solving the homogeneous equation of the form `(dx)/(dy) = h(x-y)`, we make the substitution `x = vy`.

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