Solutions of Differential Equations of the First Order and First Degree
A differential equation of first degree and first order can be solved by following method.
1. Inspection Method
If the differential equation’ can be written as f [ f1( x, y) d { f1( x, y)}] + φ [ f2( x, y) d { f2( x, y)}] +… = 0 ] then each term can be integrated separately.
For this, remember the following results
2. Variable Separable Method
If the equation can be reduced into the form f( x) dx + g( y) dy = 0, we say that the variable have been separated. On integrating this reduced, form, we get ∫ f( x) dx + ∫ g( y) dy = C, = C, where
C is any arbitrary constant.