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Find the general solution of the differential equation dydxdydx=yx. - Mathematics

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प्रश्न

Find the general solution of the differential equation `"dy"/"dx" = y/x`.

योग
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उत्तर

`"dy"/"dx" = y/x`

⇒ `"dy"/y = "dx"/x`

⇒ `int "dy"/y = int "dx"/x`

⇒ logy = logx + logc

⇒ y = cx

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अध्याय 9: Differential Equations - Solved Examples [पृष्ठ १८१]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 9 Differential Equations
Solved Examples | Q 2 | पृष्ठ १८१

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