Whats the difference between a general and particular solution?

Particular solution is just a solution that satisfies the full ODE; general solution on the other hand is complete solution of a given ODE, which is the sum of complimentary solution and particular solution.

What is the particular solution of a difference equation?

A solution yp(x) of a differential equation that contains no arbitrary constants is called a particular solution to the equation.

What does context mean in math?

Context problems are defined as problems of which the problem situation is. experientially real to the student. An RME design for a calculus course is taken as an. example, to illustrate that the theory based on the design heuristic using context problems.

What is called particular solution?

[pər¦tik·yə·lər sə′lü·shən] (mathematics) A solution to an ordinary differential equation obtained by assigning numerical values to the parameters in the general solution. Also known as particular integral.

What does it mean to be in context?

Definition of in context 1 : in a sentence with other words To really know a word, you must be able to use it in context. 2 : while thinking about the group of conditions that exist where and when something happens We need to consider these events in context.

What is a context problem?

Context problems are defined as problems of which the problem situation is experientially real to the student. Here they are defined as problems of which the problem situation is experientially real to the student. Under this definition, a pure mathematical problem can be a context problem too.

What is the difference between general and particular in math?

General means a model that describes the underlying pattern between a collection of related things. Particular is just one of those things that is related to all the other things by the underlying pattern. General: A set is a model of a collection of things. Particular: A set of numbers {1,2,3}, a set of letters {a,b,c}.

What is the difference between a particular and general solution?

A particular solution is any one solution that satisfies the equation. For example, y = 5 e x is a particular solution. Also, y = 6 e x is a particular solution. The general solution includes all particular solutions somehow. For this differential equation, the general solution is y = A e x where A is any number.

What is the role of mathematics in our daily life?

Relating mathematics to the context of everyday situation has been highlighted as one of the general objectives of teaching and learning of mathematics at the senior high school level. Conceptual problems emphasised the dynamic, active nature of mathematics and the way mathematics enables students to make sense of their world.

Does context matter in learning mathematical procedures?

Lave (1988) suggested that the specific context within which mathematical task is situated is capable of determining not only general performance but choice of mathematical procedure. Contextual problems test higher level of cognitive domain.