Mathematics - Differential Equations - Partial differential equations introduction - Classify and Setup PDEs

8 problems: (1-3) Classify as heat, wave, or Laplace: ∂u/∂t=3∂²u/∂x², ∂²u/∂t²=4∂²u/∂x², ∂²u/∂x²+∂²u/∂y²=0. (4) Apply separation of variables to the heat equation: write the two ODEs. (5) 'A rod of length L has ends kept at 0°C. Initial temperature f(x). What are the boundary conditions?' (6) Solve X