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Solution
The equation of the line having intercepts a and b on the coordinate axes respectively, is
`"x"/"a" + "y"/"b" = 1` ...(1)
where a and b are arbitrary constants.
Differentiating (1) w.r.t. x, we get
`1/"a" (1) + (1/"b") * "dy"/"dx" = 0`
∴ `(1/"b")"dy"/"dx" = - 1/"a"`
∴ `"dy"/"dx" = - "b"/"a"`
Differentiating again w.r.t. x, we get
`("d"^2"y")/"dx"^2 = 0`
This is the required D.E.
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