Differential equation, is book making typo?

Thread starter Aziza
Start date Nov 18, 2012
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Book Differential Differential equation

In summary, a differential equation is a mathematical equation used to describe the relationship between a function and its derivatives. These equations can be solved using various techniques such as separation of variables and integrating factors. They have applications in fields such as physics, engineering, and economics. It is possible for books on differential equations to contain typos, and some equations can be solved analytically while others require numerical methods.

Nov 18, 2012

Aziza

Any idea on how they got from first line to second? They just ate the (-1/9)e^(3x)...(picture is attached)

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Nov 18, 2012

Aziza

nvmmm i just got it

1. What is a differential equation?

A differential equation is a mathematical equation that describes the relationship between a function and its derivatives. It is used to model and analyze various processes in science and engineering.

2. How is a differential equation solved?

There are different methods for solving a differential equation, depending on its type and complexity. Some common techniques include separation of variables, integrating factors, and using power series.

3. What are the applications of differential equations?

Differential equations have a wide range of applications in physics, engineering, economics, and other fields. They can be used to model and predict the behavior of systems such as population growth, chemical reactions, and electrical circuits.

4. Is the book on differential equations making typos?

I cannot answer this question as I do not have access to the specific book mentioned. However, it is always possible for books to contain typos, and it is important to double check any equations or solutions that seem incorrect.

5. Can differential equations be solved analytically?

Some differential equations can be solved analytically, meaning that a closed-form solution in terms of known functions can be found. However, many differential equations can only be solved numerically using computational methods.