Yes
linear system is like a chemistry equation or math equation where on both sides it must balance. Nonlinear is a math equation or physics that does not appear to have a direct answer just like chaos theory. lulu254ever
The number of solutions to a nonlinear system of equations can vary widely depending on the specific equations involved. Such systems can have no solutions, a unique solution, or multiple solutions. The behavior is influenced by the nature of the equations, their intersections, and the dimensions of the variables involved. To determine the exact number of solutions, one typically needs to analyze the equations using methods such as graphical analysis, algebraic manipulation, or numerical techniques.
if a dependent system of equation is solved, how many solutions will there be?
An inconsistent equation (or system of equations) is one that has no possible solutions. That is precisely why we call it inconsistent; there is no solution set that can be substituted for its variable or variables that will make the equation (or system) true.
2
Yes
linear system is like a chemistry equation or math equation where on both sides it must balance. Nonlinear is a math equation or physics that does not appear to have a direct answer just like chaos theory. lulu254ever
In general, a system of non-linear equations cannot be solved by substitutions.
None, one or many - including infinitely many.
The solutions to the Schrdinger wave equation are called wave functions. They are determined by solving the differential equation that describes the behavior of a quantum system. The wave function represents the probability amplitude of finding a particle at a certain position and time in quantum mechanics.
The first step is usually to solve one of the equations for one of the variables.Once you have done this, you can replace the right side of this equation for the variable, in one of the other equations.
Isolating a variable in one of the equations.
The number of solutions to a nonlinear system of equations can vary widely depending on the specific equations involved. Such systems can have no solutions, a unique solution, or multiple solutions. The behavior is influenced by the nature of the equations, their intersections, and the dimensions of the variables involved. To determine the exact number of solutions, one typically needs to analyze the equations using methods such as graphical analysis, algebraic manipulation, or numerical techniques.
if a dependent system of equation is solved, how many solutions will there be?
In the technique of separation of variables, the Schrdinger equation is used to break down a complex quantum system into simpler parts that can be solved individually. This allows for the solution of the overall system by solving each part separately and then combining the solutions.
An inconsistent equation (or system of equations) is one that has no possible solutions. That is precisely why we call it inconsistent; there is no solution set that can be substituted for its variable or variables that will make the equation (or system) true.