### Introduction to Differential Equations

In order to inculcate interest among the students in particular and public in general, the Innovation Hub (IH) of Regional Science Centre (RSC) Calicut organised a number of online educational programmes on various topics. One of them was ‘Introduction to Differential Equations’

In mathematics, a differential equation is an equation that relates one or more functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

Mainly the study of differential equations consists of the study of their solutions (the set of functions that satisfy each equation), and of the properties of their solutions. Only the simplest differential equations are solvable by explicit formulas; however, many properties of solutions of a given differential equation may be determined without computing them exactly.

Often when a closed-form expression for the solutions is not available, solutions may be approximated numerically using computers.

In this online programme, efforts has been made to introduce this topic in a lucid and coherent way so that newcomers can gradually realise its importance and try their hands venturing in depth.

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In mathematics, a differential equation is an equation that relates one or more functions and their derivatives. Mainly the study of differential equations consists of the study of their solutions (the set of functions that satisfy each equation), and of the properties of their solutions.