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kthouz
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Can some one give me a web or anything else that can help to figure out clearly different methods used to resolve differential equations. I am learning about it and it is my first time!
A differential equation is a mathematical equation that describes the relationship between a function and its derivatives. It involves one or more dependent variables and their corresponding derivatives.
Differential equations are important in many scientific fields as they help us understand and model real-world phenomena. They are particularly useful in physics, engineering, economics, and biology.
Some common methods to solve differential equations include separation of variables, substitution, and integrating factors. Other methods include Laplace transforms, power series, and numerical methods such as Euler's method.
The order of a differential equation is determined by the highest derivative present in the equation. For example, a first-order differential equation contains the first derivative, while a second-order differential equation contains the second derivative.
Initial conditions are values given for the dependent variable and its derivatives at a specific point, usually at the beginning of the problem. Boundary conditions are values given for the dependent variable at the boundaries of the problem, such as at the start and end points.