Differential Equations
2.0 Methods to find the solution of first order and first degree differential equation
2.1 Variable separable method
2.2 Equations reducible to variable separable form
2.3 Homogeneous differential equation
2.4 Equations reducible to homogeneous form
2.5 Exact differential equation
2.6 Equations reducible to exact form
2.7 Linear differential equation
2.8 Equations reducible to linear form
2.0 Methods to find the solution of first order and first degree differential equation
2.2 Equations reducible to variable separable form
2.3 Homogeneous differential equation
2.4 Equations reducible to homogeneous form
2.5 Exact differential equation
2.6 Equations reducible to exact form
2.7 Linear differential equation
2.8 Equations reducible to linear form
Solution of a differential equation
The solution of a differential equation is a relation between dependent and independent variables not containing the derivatives in such a way that it satisfies the given differential equation. There are generally three types of solution:
1. General solution: It is a relation between the variables $x$ and $y$ which consists of the same number of arbitrary constants as the order of the differential equation.
2. Particular solution: It is obtained by assigning particular values to one or more than one arbitrary constant of general solution.
A differential equation of first order and first degree can be written as $$\frac{{dy}}{{dx}} = f(x,y)$$
Various methods are used to find the solution of a differential equation. The type of method used depends on the form in which a given differential equation is easily converted and solved.
