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hossam killua
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by chain rule or by homegenious function idk how to start with chain rule or uing homoginus function
Solving Differential Equations
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In summary, differential equations are mathematical equations that involve derivatives of a function and are used to describe how a quantity changes over time or in relation to other variables. They are important in modeling and understanding complex systems in various fields and in solving real-world problems. There are different methods for solving differential equations, including separation of variables, substitution, integrating factors, and using series solutions. However, not all differential equations can be solved analytically and may require numerical methods or approximations. In science, differential equations are used to describe and predict the behavior of physical systems, such as the movement of objects, growth of populations, and flow of fluids, and in developing mathematical models for new technologies and processes.
by chain rule or by homegenious function idk how to start with chain rule or uing homoginus function
- #2
hossam killua
- 10
- 0
i can't get fxx or fyy
FAQ: Solving Differential Equations
What are differential equations?
Differential equations are mathematical equations that involve derivatives of a function. They are used to describe how a quantity changes over time or in relation to other variables.
Why are differential equations important?
Differential equations are used to model and understand complex systems in physics, engineering, biology, economics, and other fields. They are also essential in solving real-world problems and making predictions.
What are the different methods for solving differential equations?
There are several methods for solving differential equations, including separation of variables, substitution, integrating factors, and using series solutions. The choice of method depends on the type of equation and its complexity.
Can differential equations be solved analytically?
Not all differential equations can be solved analytically, meaning by finding a closed-form solution. Some equations require numerical methods or approximations to find a solution.
How are differential equations used in science?
Differential equations are used in various scientific fields to describe and predict the behavior of physical systems. This includes modeling the movement of objects, the growth of populations, and the flow of fluids. They are also used in scientific research and in developing mathematical models for new technologies and processes.