Question

What is Type of a DIfferential Equations?

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asked 2021-02-09
What is Type of a DIfferential Equations?

Answers (1)

2021-02-10
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: \(\displaystyle{y}'={x}^{{2}}−{1}\).
2. Partial Differential equation.
The partial differential equation consists of partial derivatives of the dependent variable with more than one independent variable.
Example: \(\displaystyle\frac{{\partial^{{2}}{u}}}{{\partial{x}^{{2}}}}+\frac{{\partial^{{2}}{u}}}{{\partial{y}^{{2}}}}={0}\)
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: \(\displaystyle\frac{{\partial{y}}}{{\partial{x}}}+{2}{y}={\sin{{x}}}\).
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.
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