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J77
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Just a small list, mark up any others I have neglected...
edit: already see, I should've put in PDEs with delay...
edit: already see, I should've put in PDEs with delay...
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A differential equation is a mathematical equation that involves an unknown function and its derivatives. It describes the relationship between the function and its derivatives, and is commonly used to model physical phenomena in science and engineering.
There are several types of differential equations, including ordinary differential equations, partial differential equations, and stochastic differential equations. Additionally, differential equations can be classified based on their order (the highest derivative present) and linearity (whether the function and its derivatives are raised to a power or not).
Differential equations play a crucial role in science, particularly in physics and engineering. They are used to model and solve real-world problems, such as predicting the motion of objects, analyzing electrical circuits, and understanding the spread of diseases.
As a scientist, I do not have a favourite type of differential equation. Each type has its own unique properties and applications, and they are all important in different areas of science and engineering.
Solving a differential equation involves finding a function that satisfies the equation. There are various methods for solving different types of differential equations, including separation of variables, substitution, and using special techniques such as Laplace transforms or power series. In some cases, differential equations can also be solved numerically using computer software.