हिंदी

Find the differential equation of the family of lines through the origin.

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प्रश्न

Find the differential equation of the family of lines through the origin.

योग
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उत्तर

Let y = mx be the family of lines through origin.

Therefore, `"dy"/"dx"` = m

Eliminating m,

We get y = `"dy"/"dx" * x` or `x "dy"/"dx" - y` = 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 5 | पृष्ठ १८२
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