The following partial differential equation is defined for u:u (x, y) \(\frac{{\partial u}}{{\partial y}} = \frac{{{\partial ^2}u}}{{\partial {x^2}}};y \ge 0; \le {x_1} \le x \le {x_2}\)The set auxiliary conditions necessary to solve the equation uniquely, is

• A. three initial conditions
• B. three boundary conditions
• C. two initial conditions and one boundary condition
• D. one initial conditions and two boundary conditions