हिंदी

Find the differential equation of all non-horizontal lines in a plane.

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प्रश्न

Find the differential equation of all non-horizontal lines in a plane.

योग
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उत्तर

The general equation of all non-horizontal lines in a plane is ax + by = c.

Where a ≠ 0.

Therefore, `"a" "dx"/"dy" + "b"` = 0.

Again, differentiating both sides w.r.t. y, we get

`"a" ("d"^2x)/("dy"^2)` = 0

⇒ `("d"^2x)/("dy"^2)` = 0.

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अध्याय 9: Differential Equations - Solved Examples [पृष्ठ १८२]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 12
अध्याय 9 Differential Equations
Solved Examples | Q 6 | पृष्ठ १८२
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