Selesaikan Persamaan Diferensial Berikut dyd = Inx - 1/2 e^(-x)

[tex]\displaystyle \frac{dy}{dx}=\ln x-\frac12e^{-x}\\dy=\ln x-\frac12e^{-x}\,dx\\\int dy=\int\ln x-\frac12e^{-x}\,dx\\y=x\ln x-x+\frac12e^{-x}\\\boxed{\boxed{y=x\ln x-x+\frac1{2e^{x}}}}[/tex]