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What is the solution of an equation with 2 variables x and y?
A linear equation in two variables will not have a single solution. Its solution set is a line in the Cartesian plane. The solution to non-linear equations will depend on the equation.
What are the non trivial factors of 15863?
The factors of 15863 are 1, 29, 547, 15863, so the non trivial ones are 29 and 547.
When two linear equation no solution then lines are?
Parallel but non-coincident or, in more than 2 dimensions, they are skew.
What is the local solution of an ordinary differential equation?
The local solution of an ordinary differential equation (ODE) is the solution you get at a specific point of the function involved in the differential equation. One can Taylor expand the function at this point, turning non-linear ODEs into linear ones, if needed, to find the behavior of the solution around that one specific point. Of course, a local solution tells you very little about the ODE's global solution, but sometimes you don't want to know that anyways.
What is bratu equation?
the Bratu's equation is a differential equation which is non-linear (such as, if we have some solutions for it, a linear combinaison of these solutions will not be everytime a solution). It's given by the equation y''+a*e^y=0 or d²y/dy² =-ae^y.
Does any homogeneous system have nontrivial solution?
x+y=0 2x+2y=0 This homogeneous system has infinitely many non-trivial solutions. If you are looking for exactly one non-trivial solution, no such system exists. the system may or may not have non trivial solution. if number of variables equal to number of equations and given matrix is non singular then non trivial solution does not exist
What is a non trivial solution in mathematics?
A solution of a set of homogeneous linear equations in which not all the variables have the value zero. RAJMANI SINGH, JAGHATHA, BHATPAR RANI,DEORIA,UP-274702
What is the difference between a homogeneous and a non-homogeneous differential equation?
Homogeneous differential equations have all terms involving the dependent variable and its derivatives, while non-homogeneous equations include additional terms independent of the dependent variable.
What is non homogeneous?
A mixture that is not completely mixed.
What is the opposite trivial?
non-trivial
Why x-3 equals 0 is non homogeneous?
Because homogeneous equations normally refer to differential equations. The one in the question is not a differential equation.
What is the solution of an equation with 2 variables x and y?
A linear equation in two variables will not have a single solution. Its solution set is a line in the Cartesian plane. The solution to non-linear equations will depend on the equation.
When will a homogeneous system of equations be inconsistent?
A homogeneous system of equations will be inconsistent if it has a non-trivial solution, meaning that the variables can be simultaneously set to values other than zero. This can occur when the number of equations is greater than the number of unknowns in the system.
What is non trivial functional dependency?
-->non trivial functional dependency is totally opposite to the trivial functional dependency. --> non trivial dependency means X-->Y that is if Y is not proper subset of X table or relation with X then it said to be non trivial functional dependency.
Are solution and colloid a suspension?
A solution may contain a suspension - a non-homogeneous solution. Also exist colloidal solutions.
What is non trivial dependency?
A DEPENDENCY X->Y IS SAID TO BE TRIVIAL DEPENDENCY IF Y IS A PROPER SUBSET OF X OTHERWISE NON TRIVIAL DEPENDENCY.
What distinguishes solution from non solution?
A solution is a homogeneous mixture of two or more liquids, only one phase. When another phase exist (for example solids, immiscible liquids) this is not a true solution.
