Chapter 6, Problem 6.87P

Interpretation Introduction

Interpretation:

For what two distinct conditions the following condition is true.

  $\Delta M={{\displaystyle \underset{T_1}{\overset{T_2}{\int }}\left(\frac{\partial M}{\partial T}\right)}}_{P}dT$

Concept Introduction:

The total differential equation is defined as:

  $F=F\left(x,y\right)$.

The above equation shows that the exact differential equation is the function of two independent variables$x$and$y$.

This is the criteria of the exactness for the differential equation.