Solution
= Solution
The <partial derivatives> are $f_{xx}=4f$ and $f_t=\omega f$. Since the <exponential function> never vanishes, substituting into the <partial differential equation> gives $4=6\omega$. Hence
$$
\boxed{\omega=\frac23}.
$$
= Solution
The <partial derivatives> are $f_{xx}=4f$ and $f_t=\omega f$. Since the <exponential function> never vanishes, substituting into the <partial differential equation> gives $4=6\omega$. Hence
$$
\boxed{\omega=\frac23}.
$$