English

Solution of the differential equation dxdydxx+dyy = 0 is ______.

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Question

Solution of the differential equation `"dx"/x + "dy"/y` = 0 is ______.

Options

  • `1/x + 1/y` = c

  • logx . logy = c

  • xy = c

  • x + y = c

MCQ
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Solution

Solution of the differential equation `"dx"/x + "dy"/y` = 0 is xy = c.

Explanation:

From the given equation,

We get logx + logy = logc giving xy = c.

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Chapter 9: Differential Equations - Solved Examples [Page 188]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 9 Differential Equations
Solved Examples | Q 20 | Page 188
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