ODE - Seconed Semester - LEC 4 Exact Differential Eqauation

Exact Differential Equations and Their Solution


Introduction
An exact differential equation is one which can be solved by simply integrating both sides.
Whilst such equations are few and far between an important class of differential equations can
be converted into exact equations by multiplying through by a function known as the integrating
factor for the equation. In this lecture you will learn how to decide whether an equation is capable
of being transformed into an exact equation,ho w to determine the integrating factor and how
to obtain the solution of the original equation.

An exact differential equation is one which can be solved by simply integrating both sides.
Whilst such equations are few and far between an important class of differential equations can
be converted into exact equations by multiplying through by a function known as the integrating
factor for the equation. In this lecture you will learn how to decide whether an equation is capable
of being transformed into an exact equation,ho w to determine the integrating factor and how
to obtain the solution of the original equation.