Hello ayildirim10,ayildirim10 said:dear Hils0005
I have an equation as:
dM/dt=D.[d^2M/dr^2 +(2/r)(dM/dr)]-k.M
and initial and boundary conditions are:
t=0, M=Mo
r=0, dM/dr=0
r=R, M=Ms
Would you solve this equation, please?
your simcerely...
A differential equation is a mathematical equation that relates a function with its derivatives. It is used to describe how a system changes over time.
The types of differential equations include ordinary differential equations, partial differential equations, and stochastic differential equations. Ordinary differential equations involve only one independent variable, while partial differential equations involve multiple independent variables. Stochastic differential equations involve random variables.
Solving a differential equation can help us understand the behavior of a system over time. It can also help us make predictions and make informed decisions in various fields such as physics, engineering, and economics.
There are various methods for solving differential equations, including separation of variables, integrating factors, and using power series. The method used will depend on the type and complexity of the equation.
Differential equations are used in many fields, such as physics (to model motion and forces), engineering (to analyze circuits and control systems), and biology (to model growth and population dynamics). They are also used in economics, chemistry, and other sciences to understand and predict natural phenomena.