Differential Equations

$y(1+x)=x+\mathrm{ce}^x$, where c is the constant of integration

$\quad y(1+x)=\mathrm{ce}^x$, where c is the constant of integration

$y(1-x)=x-\mathrm{ce}^x$, where c is the constant of integration

$y(1+x)=x$, where c is the constant of integration