- #1
edgepflow
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Can someone solve:
y''(x) - A x^2 y = 0
A = constant
It is probably easy, but I took this class 23 years ago.
y''(x) - A x^2 y = 0
A = constant
It is probably easy, but I took this class 23 years ago.
A differential equation is a mathematical equation that describes the relationship between a function and its derivatives. It is used to model many real-world phenomena in physics, engineering, and other scientific fields.
There are various techniques for solving differential equations, such as separation of variables, integrating factors, and using specific formulas for certain types of equations. The solution may also involve finding a particular solution and a general solution to account for all possible solutions.
No, not all differential equations have analytical solutions. Some equations may require numerical methods or approximations to find a solution. In some cases, it may not be possible to find a solution at all.
Finding a solution to a differential equation allows us to understand and predict the behavior of a system or process. It also helps us to make informed decisions and develop effective strategies in various fields of science and engineering.
Yes, differential equations are used to model many real-world phenomena, such as population growth, chemical reactions, fluid flow, and electrical circuits. They are also essential in fields like economics, medicine, and ecology.