where M and N are functions of x and y. In order to study the methods
of solution, we classify the fi rst order and fi rst degree equations as
follows:
1. Variables separable
2. Reducible to variables separable
3. Homogeneous equation
4. Non-homogeneous but reducible to homogeneous type
5. Exact equation
6. Inexact equation but rendered exact using integrating factors
7. First order linear equation.
8. Reducible to linear equation
i. Bernoulli’s equation
ii. Others
Now we take up the above types of equations one by one and discuss
the methods of solution.
2.1.1 Variable Separable Equation
If the fi rst order and fi
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