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asked
in Partial Differential Equation (PDE)
Feb 13, 2020
recategorized
Mar 12, 2021
by Lakshman Patel RJIT

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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