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z.js
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I would like to learn this. Can someone teach me? The things like δy2/δ2x and solving for x and y.
z.js said:I would like to learn this. Can someone teach me? The things like δy2/δ2x and solving for x and y.
Borek said:There are thick books on the subject.
And they cover only introductory material...
HallsofIvy said:"Introductory Differential Equations" would be at least a semester course. "Differential equations" in general should require several courses. I don't know what you mean by " The things like δy2/δ2x and solving for x and y." Did you mean [itex]d^2y/dx^2[/itex] or [itex]\partial^2y/\partial x^2[/itex]? Those are from Calculus and you should have completed Calculus before you attempt Differential Equations. Have you taken Calculus?
z.js said:aaaaaaaaaaaaaaaaaaaaaaaaah! Did you learn it?
Borek said:But asking people to TEACH you something like that is a horribly wrong approach.
oh dear...:zzz: I might just see how it works or maybe study it for several weeks.HomogenousCow said:Differential equations is probably the most studied area of applied mathematics (and maybe pure mathematics), one can spend an entire life time studying differential equations.
Differential equations are mathematical equations that describe how a quantity changes over time or space. They involve both the quantity and its rate of change, and are used to model various physical, biological, and social phenomena.
Differential equations are important in many areas of science and engineering. They are used to model and predict the behavior of complex systems, such as the weather, population growth, and chemical reactions. They also provide a powerful tool for analyzing and understanding the behavior of physical systems.
Yes, anyone with a strong foundation in mathematics and a willingness to learn can understand and solve differential equations. However, it may require a significant amount of practice and studying to become proficient in solving them.
Some common techniques for solving differential equations include separation of variables, substitution, and using integrating factors. There are also numerical methods, such as Euler's method and Runge-Kutta methods, which are used to approximate solutions to more complex differential equations.
Practice and persistence are key to improving your skills in solving differential equations. It is also helpful to have a solid understanding of calculus and basic algebra, as well as studying and reviewing different problem-solving techniques. Seeking out additional resources, such as textbooks or online tutorials, can also aid in improving your skills.