What type of integral equation is this and how can I solve it?

In summary, an integral equation is a mathematical equation involving an unknown function under an integral sign. It differs from a regular equation in that the solution is a function instead of a single value. Integral equations have various real-world applications, and there are multiple methods to solve them, including separation of variables and substitution. Online resources such as tutorials and forums are available for help with integral equations.
  • #1
muttley78
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I would ask help to solve the following integral equation. Any suggestion? Any references to look at?

f(x)=int_{0}^{x} (A*exp{t-x}+B)f(t)g(t/x)*(1/x)dt

A, B known constant

Thanks a lot.
 
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1. What is an integral equation?

An integral equation is a mathematical equation that involves an unknown function, which appears under an integral sign. It is used to describe a relationship between a function and its integral.

2. How is an integral equation different from a regular equation?

An integral equation involves an unknown function under an integral sign, while a regular equation does not. This means that the solution to an integral equation is a function, rather than a single value.

3. What are some real-world applications of integral equations?

Integral equations have many real-world applications, such as in physics, engineering, and economics. They are used to model various phenomena, such as heat transfer, population growth, and electrical circuits.

4. How can I solve an integral equation?

The method used to solve an integral equation depends on the specific equation and its properties. Some common techniques include separation of variables, substitution, and Laplace transforms.

5. Are there any online resources for help with integral equations?

Yes, there are many online resources available for help with integral equations, such as tutorials, lecture notes, and problem-solving guides. Additionally, there are forums and communities where you can ask for assistance from other scientists and mathematicians.

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