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Solve e^(y - x) dy/dx = y(sin x + cos x)/(1 + y log y)

The same question, asked 2 times: 10 May 2023 S2, 12 May 2024 S2. Every wording below, oldest first.

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  1. Question 1

    10 May 2023 S2

    110
    The general solution of the differential equation ey−xdydx=y(sin⁡x+cos⁡x)1+ylog⁡ye^{y-x}\frac{dy}{dx} = \frac{y(\sin x + \cos x)}{1 + y\log y} is

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  2. Question 2

    12 May 2024 S2

    143
    The solution of ey−xdydx=y(sin⁡x+cos⁡x)1+ylog⁡ye^{y-x}\dfrac{dy}{dx} = \dfrac{y(\sin x + \cos x)}{1+y\log y} is

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