English

The general solution of the differential equation dydxedydx=ex-y is ______.

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Question

The general solution of the differential equation `"dy"/"dx" = "e"^(x - y)` is ______.

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Solution

The general solution of the differential equation `"dy"/"dx" = "e"^(x - y)` is exdx.

Explanation:

ey = ex + c from given equation, we have eydy = exdx.

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Chapter 9: Differential Equations - Solved Examples [Page 189]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 9 Differential Equations
Solved Examples | Q 22. (vii) | Page 189
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