Consider the heat equation[br][center][math]\frac{\partial u}{\partial t}=c^2\frac{\partial^2u}{\partial x^2}[/math][/center]A particular solution of the heat equation is given by[br][center][math]u\left(x,t\right)=\frac{1}{\sqrt{4\pi c^2t}}\text{exp}\left(\frac{-x^2}{4c^2t}\right)[/math][/center]The following worksheet shows a representation of this solution.[br][br]Use right click and drag the mouse to rotate the 3D view.