- #1
kamke
- 6
- 0
Hi,
y'' = y^2/x
y(x) = ?
Trial and error: y(x) = 2/x.
I am glad to get a particular solution too.
Thanks,
kamke
y'' = y^2/x
y(x) = ?
Trial and error: y(x) = 2/x.
I am glad to get a particular solution too.
Thanks,
kamke
The Ode Emden Fowler equation is a second-order ordinary differential equation that is used to describe the structure of polytropic gas spheres. It is commonly used in astrophysics and fluid mechanics.
The Ode Emden Fowler equation is significant because it provides a mathematical model for the density distribution of a self-gravitating, spherically symmetric, polytropic gas sphere. This allows scientists to better understand the behavior and structure of celestial bodies, such as stars and planets.
The Ode Emden Fowler equation was developed by German mathematician Karl Wilhelm Emden and British mathematician Alfred Fowler in the early 20th century.
A polytropic gas sphere is a gaseous body in which the pressure and density are related by a power law, where the exponent is known as the polytropic index. This type of gas sphere is often used to model the structure of stars and other celestial bodies.
The Ode Emden Fowler equation is used in astrophysics to model the internal structure and evolution of stars. By solving this equation, scientists can determine the density distribution, temperature, and other important properties of a star at different stages of its life cycle.