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The solution of $\frac{d y}{d x}=e^x(\sin x+\cos x)$
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Verified Answer
The correct answer is:
$y=\mathrm{e}^x \sin x+c$
Given equation $\frac{d y}{d x}=e^x(\sin x+\cos x)$
$\Rightarrow d y=e^x(\sin x+\cos x) d x$
On integrating, we get $y=e^x \sin x+c$
$\Rightarrow d y=e^x(\sin x+\cos x) d x$
On integrating, we get $y=e^x \sin x+c$
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