Find dxdy, if y+siny=cosx

Solution: Differentiating with respect to x,dxdy+cosydxdy=−sinxdxdy=−1+cosysinx

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Find {{{.{d}{y}.}}}{{{.{d}{x}.}}}, if {y}+{{{y}}}={{{x}}}

Question

Find $\frac{d y}{d x}$ , if $y + sin y = cos x$

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Scarlett Discussed

Find

\frac{d y}{d x}

, if

y + sin y = cos x

6 mins ago

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6 mins ago

Solution: Differentiating with respect to x,

\frac{d y}{d x} + cos y \frac{d y}{d x} = - sin x

\frac{d y}{d x} = - \frac{sin x}{1 + cos y}

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