Easy
Solve the equation dydx=sin(x)ey\frac{d y}{d x}=\frac{\sin (x)}{e^{y}}dxdy=eysin(x)
y=ln(−cos(x)+c)y=\ln (-\cos (x)+c)y=ln(−cos(x)+c)
y=ln(−cos(x))+cy=\ln (-\cos (x))+cy=ln(−cos(x))+c
y=cos(x)−sin(x)ey+cy=\frac{\cos (x)-\sin (x)}{e^{y}}+cy=eycos(x)−sin(x)+c
y=cos(x)−sin(x)+cexy=\frac{\cos (x)-\sin (x)+c}{e^{x}}y=excos(x)−sin(x)+c
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