- #1
physicskid
- 75
- 0
Can anyone please tell me how differential equation works? I already understand derivative and integral work except this...
Yes, how do we know if a solution exists?Feynman said:What do you mean Ethereal ?
are you ask about the existence of the solution?
How about both?Feynman said:OHHHHHHHHHHHHHHH , it is a big problem
are u talking about differential or partial differential eq?
A differential equation is a mathematical equation that describes the relationship between a function and its derivatives. It involves variables, constants, and the rate of change of a function, and is commonly used to model dynamical systems such as motion, population growth, and heat transfer.
There are several methods for solving differential equations, depending on the type and complexity of the equation. Some common techniques include separation of variables, substitution, and using integrating factors. In some cases, numerical methods may also be used to approximate a solution.
The order of a differential equation is determined by the highest derivative present in the equation. For example, a first order differential equation contains only first derivatives, while a second order equation contains second derivatives.
Differential equations are widely used in various fields of science and engineering to model and analyze real-world phenomena. They are particularly useful in predicting and understanding the behavior of dynamic systems, such as in physics, biology, economics, and engineering.
Yes, a differential equation can have more than one solution. This is known as the general solution, which includes all possible solutions to the equation. However, in some cases, a specific or unique solution may be required, which can be obtained by applying initial or boundary conditions to the general solution.