The differential equation of all straight lines in a plane passing through (0, 1) is:

y - 1 = m x

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y = m (x - 1)

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y = x y_{1}

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y = x y_{1} + 1

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Solution

The correct option is D $y = x y_{1} + 1$
$\Rightarrow (y - 1) = m x$
$y = m x + 1$
$\Rightarrow y_{1} = m$
$\Rightarrow y = y_{1} x + 1$

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