Differential Equations:
Differential equation is the relationship between the functions and its derivatives.
y + dy/dx=ax.
Differential equation is grouped into Ordinary differential equation and Partial differential equations.
Next we have to see about order and degree of differential equations, the order is the highest derivative of the equation and the degree is the exponent of the highest derivative in a equation.
(d2y/dx)3 + dy/dx+y=6x
Here order is 2 and the degree is 3 in this equation.
If it is linear differential equation the power of the equation is one. First order linear differential equation is of the form
dy/dx + P(x)y = Q(x).
In the above equations P and Q are functions of x.
Different types of First order and First degree differential equations are
- Variable separable equation
- Linear differential equation
- Homogeneous differential equation
- Bernoulli’s equation
