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Divide both sides by dx and ($1+e^x$) to isolate $dy/dx$, yielding $dy/dx$ = (ye^x)/($1+e^x$). Then, move the term containing y to the left side to match the standard linear structure y' + $p(x)y = q(x)$.

Conditions: The equation is a first-order differential equation.; ($1+e^x$) is never zero, so division is valid.

Divide both sides by dx and ($1+e^x$) to isolate $dy/dx$, yielding $dy/dx$ = (ye^x)/($1+e^x$). Then, move the term containing y to the left side to match the standard linear structure y' + $p(x)y = q(x)$.

Conditions: The equation is a first-order differential equation.; ($1+e^x$) is never zero, so division is valid.