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The general solution of e^(x) cos ydx-e^...

The general solution of `e^(x) cos ydx-e^(x) sin ydy=0` is

A

`e^(x)cosy=k`

B

`e^(x)siny=k`

C

`e^(x)=k cos y`

D

`e^(x)=k sin y`

Text Solution

AI Generated Solution

To solve the differential equation \( e^{x} \cos y \, dx - e^{x} \sin y \, dy = 0 \), we will follow these steps: ### Step 1: Rearranging the Equation We start with the given equation: \[ e^{x} \cos y \, dx - e^{x} \sin y \, dy = 0 \] Rearranging gives: ...
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