Suppose $u$ has units degree Celsius (${}^\circ$C), time $t$ is in seconds (s), $x$ is in centemeters (cm). We have the equation $u_t = \alpha^2 u_{xx} - \nu u_x$

What are the units of $u_t$:
cm / s
${}^\circ$C / s
cm${}^2$ / s
g / cm${}^3$
${}^\circ$C / cm${}^2$
s / ${}^\circ$C
cm / s${}^2$
${}^\circ$C-s

What are the units of $\nu$:
cm${}^2$ / s
cm / s
${}^\circ$C / s
s / ${}^\circ$C
g / cm${}^3$
${}^\circ$C / cm${}^2$
cm / s${}^2$
${}^\circ$C-s

What are the units of $\alpha^2$
${}^\circ$C / s
g / cm${}^3$
${}^\circ$C / cm${}^2$
cm${}^2$ / s
s / ${}^\circ$C
cm / s
${}^\circ$C-s
cm / s${}^2$