# Can You Solve the Radial Diffusion Equation with Given Conditions?

• ayildirim10
Sincerely, Hils0005In summary, the conversation is about a request for help in solving an equation with specified initial and boundary conditions. The responder declines to provide a complete solution and emphasizes the importance of doing the work oneself.
ayildirim10
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?

Last edited:
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?
Hello ayildirim10,

We will not provide you with complete solutions here. We will not do your homework for you, nor will we permit others to do it for you.

We are more than happy to help you solve your problems, but you have to do the work!

## 1. What is a differential equation?

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.

## 2. What are the types of differential equations?

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.

## 3. What is the purpose of solving a differential equation?

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.

## 4. How do I solve a differential equation?

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.

## 5. What are some real-world applications of differential equations?

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.

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