The general solution of e x cos y dx − e x sin y dy = 0 is:

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The general solution of $\mathrm{e}^{\mathrm{x}} \cos y \mathrm{dx}-\mathrm{e}^{\mathrm{x}} \sin y \mathrm{dy}=0$ is:

MathematicsDifferential Equations

Options:

A
$\mathrm{e}^{\mathrm{x}} \cos y=\mathrm{k}$
B
$\mathrm{e}^{\mathrm{x}} \sin y=\mathrm{k}$
C
$\mathrm{e}^{\mathrm{x}}=\mathrm{k} \cos y$
D
$\mathrm{e}^{\mathrm{x}}=\mathrm{k} \sin y$

Solution:

1033 Upvotes Verified Answer

The correct answer is:
$\mathrm{e}^{\mathrm{x}} \cos y=\mathrm{k}$

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