Question:medium
The integrating factor of the differential equation $(e^x - \sin y) dx + \cos y \, dy = 0$ is
The integrating factor of the differential equation $(e^x - \sin y) dx + \cos y \, dy = 0$ is
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Rules for Integrating Factors:
1. If $\frac{M_y - N_x}{N} = f(x)$, then $I.F. = e^{\int f(x) dx}$.
2. If $\frac{N_x - M_y}{M} = g(y)$, then $I.F. = e^{\int g(y) dy}$.
Updated On: Jul 29, 2026
- $e^x$
- $e^{-x}$
- $e^x \sin y$
- $e^{-x} \cos y$
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The Correct Option is B
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