There are various types of sequences and series, in this section, we will discuss some special and most commonly used sequences and series. The types of sequence and series are: Arithmetic Sequences and Series Geometric Sequences and Series Harmonic Sequences and Series An arithmetic sequence is a sequence where the successive terms are either the addition or… Continue reading Types of Sequence and Series
Month: June 2022
Difference B/w Sequence and Series
The important differences between sequence and series are explained in the table given below: Sequence Series In sequence, elements are placed in a particular order following a particular set of rules. In series, the order of the elements is not necessary. It is just a collection (set) of elements that follow a pattern. It is a sum… Continue reading Difference B/w Sequence and Series
What Are Sequence and Series?
The sequence is the group or sequential arrangement of numbers in a particular order or set of rules. Series is formed by adding the terms of a sequence. In a sequence, an individual term can be present in many places. Sequences can be of two types, i.e. infinite sequence and finite sequence and series will be then… Continue reading What Are Sequence and Series?
Sequence and Series
Sequence and series are used in mathematics as well as in our daily lives. A sequence is also known as progression and a series is developed by sequence. Sequence and series is one of the basic concepts in Arithmetic. Sequences are the grouped arrangement of numbers orderly and according to some specific rules, whereas a series… Continue reading Sequence and Series
Applications of Differential Equations
Ordinary differential equations applications in real life are used to calculate the movement or flow of electricity, motion of an object to and fro like a pendulum, to explain thermodynamics concepts. Also, in medical terms, they are used to check the growth of diseases in graphical representation. Differential equations are useful in describing mathematical models… Continue reading Applications of Differential Equations
Solution of Differential Equations
The differential equation has infinitely many solutions. Solving a differential equation is referred to as integrating a differential equation since the process of finding the solution to a differential equation involves integration. A solution of a differential equation is an expression for the dependent variable in terms of the independent variable which satisfies the differential… Continue reading Solution of Differential Equations
Formation of Differential Equations
The differential equations are modeled from real-life scenarios. Newton’s second law is described by the differential equation where m is the mass of the object, h is the height above the ground level. This is the second-order differential equation of the unknown height as a function of time. As time increases, the population increases. If… Continue reading Formation of Differential Equations
Partial Differential Equation
An equation involving only partial derivatives of one or more functions of two or more independent variables is called a partial differential equation also known as PDE. A few examples are: ?u/ dx + ?/dy = 0, ?2u/?x2 + ?2u/?x2 = 0
Types of Differential Equations
The differential equations are classified as: Ordinary Differential Equations Partial Differential Equations Ordinary Differential Equation The “Ordinary Differential Equation” also known as ODE is an equation that contains only one independent variable and one or more of its derivatives with respect to the variable. Thus, the ordinary differential equation is represented as the relation having… Continue reading Types of Differential Equations
Degree of Differential Equations
If a differential equation is expressible in a polynomial form, then the integral power of the highest order derivative that appears is called the degree of the differential equation. The degree of the differential equation is the power of the highest ordered derivative present in the equation. To find the degree of the differential equation,… Continue reading Degree of Differential Equations