Order of a Differential Equation
The order of differential equations is the highest order of the derivative present in the equations.
For example:
- [Tex]x + \frac{dy}{dx} = 3[/Tex]. It has an order of 1.
- [Tex]\frac{d^{2}y}{dx} + sinxcosx = 10 [/Tex]. It has an order of 2.
- [Tex]\frac{d^{3}y}{dx} + \frac{d^{2}y}{dx} + x^{3} + 5 = 0 [/Tex]. It has an order of 3.
Differential Equations
Differential Equations come into play in a variety of applications such as Physics, Chemistry, Biology, Economics, etc. A differential equation is a mathematical equation that relates some function with its derivatives. In applications, the functions usually represent physical quantities, the derivatives represent their rates of change, and the equation defines a relationship between the two. Let’s formally define what is a differential equation.
Table of Content
- What is a Differential Equation?
- Order of a Differential Equation
- Degree of Differential Equation
- Types of Differential Equations
- General And Particular Solution of Differential Equation
- Formation of a Differential Equation whose General Solution is Given
- Homogeneous Differential Equations
- Variable Separable Differential Equation
- Solution to a Linear Differential Equation
- Writing a Differential Equation
- Differential Equations Class 12