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This method was given by Leonhard Euler. Euler’s method is the first order numerical method for solving ordinary differential equations with given initial value.

Simpson’s rules are very useful in numerical integration to evaluate such integrals.

The concept of probability distribution gives the idea about the probabilities of any random experiment.

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In calculus, the definite and indefinite integrals are the types of integration used to integrate the functions. The function can be exponential, power, logarithmic, constant, polynomial, or linear. These types of integral are used frequently to determine the area under the curve.

functions play an important role in mathematics. A function defines a specific correlation between the two data sets. Beta and gamma functions are from the group of Euler’s integral functions.

The population is the collection or group of observations under study in a survey sampling.The total number of observations in a population is known as population size and it is denoted by N.

Bayes theorem describes the probability of an event, which is based on prior knowledge conditions related to the events.

To test the hypothesis, we draw a sample from a large population and make certain decisions about the population

An equation consisting of a differential coefficient is called a differential equation.

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.

Graph theory is intimately related to many branches of mathematics. It is widely applied in subjects like, Computer Technology, Communication Science, Electrical Engineering, Physics, Architecture, Operations Research, Economics, Sociology, Genetics, etc. In the earlier stages it was called slum Topology. It also has uses in social sciences, chemical sciences, information retrieval systems, linguistics even in economics also.

Taylor series method to solve the first order ordinary differential equation- The general first order differential equation