2. A flat circular plate of radius a is initially at a temperature of 100°C. Starting at t=0 s, the edges of the plate are held at 0°C. Find the temperature dependent distribution u(r,e,t). Hint: Section 13.5 will help as will your knowledge of Bessel functions (Ch 12). You will also have to transform the V²u part of the heat equation into polar coordinates like we did with curvilinear coordinates in the first half of the semester.