A differential equation is any equation which contains an unknown function and one of its unknown derivatives. If only ordinary derivatives are present, then the equation is called an ordinary differential equation and if partial derivatives are involved, then the equation is called a partial differential equation. D.E play an extremely important role in applied math, engineering and physics.

If y= f(x) is an unknown function, an equation which involves at least one derivatives of y w.r.t x is called an ordinary differential equation. The order of the D.E is the order of the highest derivative present in the equation and the degree of the D.E is the degree of the highest order derivative after clearing the fraction powers.

Example:

1. dy/dx=2x in this the Order =1, Degree =1

The first order and first degree equation will be in the form

dy/dx = f(x,y)

- Variables separable equation
- Homogeneous equation
- Exact equation
- Linear equation

In homogeneous equation

First-order linear constant coefficient ordinary differential equation:

du/dx = cu + x^{2}

Second-order linear ordinary differential equation:

d^{2}u/dx^{2} - x du/dx + u = 0

Second-order linear constant coefficient ordinary differential equation describing the harmonic oscillator:

d^{2}u/dx^{2} + w^{2}u = 0.

First-order nonlinear ordinary differential equation:

du/dx = u^{2} + 4.

Second-order nonlinear (due to sine function) ordinary differential equation describing the motion of a pendulum of length L:

L d^{2}u/dx^{2} + g sin u = 0.

Homogeneous first-order linear partial differential equation:

Homogeneous second-order linear constant coefficient partial differential equation of elliptic type, the Laplace equation:

Third-order nonlinear partial differential equation, the Korteweg–de Vries equation:

Assignment Writing Help

- Science Assignment Help
- Math Assignment Help
- Chemistry Assignment Help
- Physics Assignment Help
- Biology Assignment Help
- Psychology Assignment Help
- History Assignment Help
- Geography Assignment Help
- English Assignment Help
- Humanities Assignment Help
- Nursing Assignment Help
- Social Science Assignment Help
- Arts and Architecture Help
- Statistics Assignment Help
- Law Assignment Help
- Computational Mathematics Assignment Help

Engineering Assignment Services

- Programming Assignment Help
- Database Help
- Data Structure Assignment Help
- Operating Systems Assignment Help
- Computer Network Assignment Help
- UML Diagram Assignment Help
- IT Assignment Help
- Game Programming Help
- Computer Science Assignment Help
- Information Systems Assignment Help
- Chemical Engineering Assignment Help
- Civil Engineering Assignment Help
- Electrical, Electronics Help
- Mechanical Engineering Assignment Help
- Petroleum Engineering Assignment Help
- Biochemical and Biotechnology Help

Do My Assignment Help

- Accounting Assignment Help
- Finance Assignment Help
- Economics Assignment Help
- Marketing Assignment Help
- Human Resources Assignment Help
- Operations Management Assignment Help
- Strategy and Planning Help
- Project Management Help
- Case Studies Writing Help
- Political science
- Referencing Help
- Assignment Help Websites
- Online Assignment Help
- Do My Assignment
- Do My Homework

Write My Essay Services

- Essay Writing Help
- Business Essay Writing Help
- Assignment Writing Services
- Plagiarism Free Essay Writing
- Essay Editing Service
- Dissertation Writing Services
- Thesis Writing Help
- Custom Writing Help
- Write My Essay
- Write My Paper
- Paper Writing Service
- Academic help
- College Essay Writing
- Cheap Essay Writing