Pregunta: dy/dx−y/2=e∧(−x),dy/dx−y/2=e∧(−x),y(0)=−1y(0)=−2/3

(1)

To solve $\frac{\mathrm{d}\mathrm{y}}{\mathrm{d}\mathrm{x}}-\frac{\mathrm{y}}{2}={\mathrm{e}}^{-\mathrm{x}},\mathrm{y}\left(0\right)=-1\dots \left(1\right)$

Clearly (1) is the linear differential equation and which is of the form ${\mathrm{y}}^{\prime }+\mathrm{P}\left(\mathrm{x}\right)\mathrm{y}=\mathrm{Q}\left(\mathrm{x}\right)$