# What is Type of a DIfferential Equations?

What is Type of a DIfferential Equations?
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Margot Mill
Step 1
There are four type of differential equations,
1. Ordinary Differential equation.
The ordinary differential equation consists of one or more functions of one independent variable along with their derivatives.
Example: ${y}^{\prime }={x}^{2}-1$.
2. Partial Differential equation.
The partial differential equation consists of partial derivatives of the dependent variable with more than one independent variable.
Example: $\frac{{\partial }^{2}u}{\partial {x}^{2}}+\frac{{\partial }^{2}u}{\partial {y}^{2}}=0$
Step 2
3. Linear Differential equation.
The linear differential equation consists of derivatives of the dependent variable wit respect to one or more independent variable.
Example: $\frac{\partial y}{\partial x}+2y=\mathrm{sin}x$.
4. Homogeneous Differential equation.
The differential equation is of the form f(x,y)dy=g(x,y)dx. is said to be homogeneous differential equation.
Example : F(x,y)=22x−8y.