Solution
= Solution
{c}
For $f(x,y)=-xy^2$, the <explicit Euler method> evaluates the right-hand side at the known point $(x_n,y_n)$. Therefore
$$
\boxed{y_{n+1}=y_n-hx_ny_n^2=y_n(1-hx_ny_n),\qquad y_0=1.}
$$
This update requires no <root finding>.