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Question
Find the differential equation of the family of all straight lines passing through the origin
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Solution
The general equation for a family of lines passing through the origin is
y = mx .........(1)
Differentiating w.r.t x,
`("d"y)/("d"x)` = m .......(2)
Using (2) in (1)
y = `(("d"y)/("d"x)) x` is the required differential equation
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