The following partial differential equation is defined for $u:u (x,y)$
$$\dfrac{\partial u}{\partial y}=\dfrac{\partial^2 u}{\partial x^2}; \space y\geq0; \space x_1\leq x \leq x_2$$
The set of auxiliary conditions necessary to solve the equation uniquely, is
- three initial conditions
- three boundary conditions
- two initial conditions and one boundary condition
- one initial condition and two boundary conditions