Maths

The method of variation of parameters is the general method which we use to find out a particular solution of a differential equation by replacing the constants in the solution of the homogeneous differential equation by functions and evaluating these functions so that the original DE will be satisfied.

The term ‘regression analysis’ means some sort of functional relationship between two or more related variables. Regression is the estimation of unknown values of one variable from known values of another variable.

The ratio test is also known as D Alembert’s ratio test. It was first published by Jean le Rond d’ Alembert.

An exact differential equation is formed by differentiating its solution directly without any other process,Is called an exact differential equation if it satisfies the following condition-

The rule of L’Hospital’s was given by  Guillaume de l’Hôpital. The technique discussed in this method is used to evaluate indeterminate forms. suppose we have two functions f(x) and g(x) and both are zero at x = a, then the fraction f(a)/ g(a) is called the indeterminate form 0/0.

introduction to the method of least squares- When we find the area of a triangle then it depends on base and height, hence we can say that area of the triangle is the function of base and height.

When we find the area of a triangle then it depends on base and height, hence we can say that area of the triangle is the function of base and height. In other words, when we have a mathematical function having more than one variables, we use partial differentiation.

Comparison test, which is also known as limit comparison test. we use this method to test the convergence of an infinite series.

In the narrow sense of the term, the theory of function of a complex variable is the theory of analytic functions (cf. Analytic function) of one or several complex variables.