Boundary conditions allow to determine constants involved in the equation. They are basically the same thing as initial conditions in Newton's mechanics (actually they are initial conditions).
The solution to a differential equation requires integration. With any integration, there is a constant of integration. This constant can only be found by using additional conditions: initial or boundary.
It is the solution of a differential equation without there being any restrictions on the variables (No boundary conditions are given). Presence of arbitrary constants indicates a general solution, the number of arbitrary constants depending on the order of the differential equation.
y - x + 1 have no boundary as we don't know what x and y are. I shouldn't say "no boundary", it's more of that the boundary is not defined.
The boundary of an inequality is formed by the corresponding equation.
It discriminates between the conditions in which a quadratic equation has 0, 1 or 2 real roots.
An optical modes refer to a specific solution of the Wave Equation which satiates the boundary conditions.
The solution to a differential equation requires integration. With any integration, there is a constant of integration. This constant can only be found by using additional conditions: initial or boundary.
It is the solution of a differential equation without there being any restrictions on the variables (No boundary conditions are given). Presence of arbitrary constants indicates a general solution, the number of arbitrary constants depending on the order of the differential equation.
There is no importance because in a chemical equation you need numbers.
Being a physicist I do not know too much about the applications. But in general the time dependent Schrodinger Equation tells us how a quantum state evolves in time. I believe this might be applicable to things like flash/thumb drives, and computers in general.
y - x + 1 have no boundary as we don't know what x and y are. I shouldn't say "no boundary", it's more of that the boundary is not defined.
The boundary of an inequality is formed by the corresponding equation.
y>x-1
The importance of Einstein's equation is that it shows us that mass and energy are related. The famous equation is E=mc2.
Nernst Equation
Places near the equator have warmer climates. The equator marks the boundary between the northern and southern hemispheres.
A. A. Bakr has written: 'The boundary integral equation method in axisymmetric stress analysis problems' -- subject(s): Boundary element methods, Strains and stresses