Question

4. Form the differential equation representing the family of curves y=mx where mis arbitrary constant
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Answer 1

$y = mx$........(1)

$\frac{dy}{dx} = \frac{d}{dx}(mx)$

$\frac{dy}{dx} = m$

Substituting $\frac{dy}{dx} = m$ in equation (1)

$y = \frac{dy}{dx}x$

$x\frac{dy}{dx} - y = 0$

HOPE IT HELPS !!