The partial differential equation $\frac{\partial \mathrm{u}}{\partial \mathrm{t}}=\alpha \frac{\partial^{2} \mathrm{u}}{\partial \mathrm{x}^{2}},$ where $\alpha$ is a positive constant, is
(A) circular.
(B) elliptic.
(C) hyperbolic.
(D) parabolic.
The partial differential equation $\frac{\partial \mathrm{u}}{\partial \mathrm{t}}=\alpha \frac{\partial^{2} \mathrm{u}}{\partial \mathrm{x}^{2}},$ where $\alpha$ is a positive constant, is
(A) circular.
(B) elliptic.
(C) hyperbolic.
(D) parabolic.