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

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Question

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

Sum
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Solution

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

⇒ `"dy"/y = "dx"/x`

⇒ `int "dy"/y = int "dx"/x`

⇒ logy = logx + logc

⇒ y = cx

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Chapter 9: Differential Equations - Solved Examples [Page 181]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 9 Differential Equations
Solved Examples | Q 2 | Page 181

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