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plutoisacomet
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Hello guys, I want to learn diff eq but I seem to not be seeing many of the intermediate steps. Is there a guide or tutorial that gives one a good intro to diff eq with all the intermediate steps?
Thanks
Thanks
HallsofIvy said:I "googled" on ' "differential equations" tutorial' and got a number of hits. I'm not going to check out everyone myself but you can try it.
A differential equation is a mathematical equation that describes the relationship between a function and its derivatives. It involves the use of derivatives to model change and is commonly used in many fields of science, such as physics, engineering, and biology.
Differential equations are important because they help us analyze and understand the behavior of systems that change over time. They are used to model physical phenomena and make predictions about how a system will behave in the future.
The method for solving a differential equation depends on its type and complexity. Generally, there are two main approaches: analytical and numerical. Analytical solutions involve finding an exact formula for the solution, while numerical solutions involve approximating the solution using numerical methods.
Differential equations have a wide range of applications in the real world. They are used to model various physical systems, such as the motion of objects, the flow of fluids, and the spread of diseases. They are also used in economics, population dynamics, and electrical circuits, among others.
To improve your understanding of differential equations, it is important to have a strong foundation in calculus and algebra. Additionally, practicing solving different types of differential equations and reading textbooks and articles on the subject can also help improve understanding. Taking a course or seeking help from a tutor or mentor are also effective ways to improve your knowledge of differential equations.