heat equation

A 5 cm long metal rod AB was initially at a uniform temperature of T₀ °C. Thereafter, temperature at both the ends are maintained at 0 °C. Neglecting the heat transfer from the lat...

A 5 cm long metal rod AB was initially at a uniform temperature of T 0 °C. Thereafter, temperature at both the ends are maintained at 0°C. Neglecting the heat transfer from the lat...

The solution of the partial differential equation $${{\partial u} \over {\partial t}} = \alpha {{{\partial ^2}u} \over {\partial {x^2}}}$$ is of the form