Diferansiyel Denklem Nedir? (Differential Equations) - summarize.tech
If a function is present in an equation and its derivative is taken, the equation is classified as a differential equation. For example, in the equation y' - ...
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# Summary of [Diferansiyel Denklemler : Diferansiyel Denklem Nedir? (Differential Equations)](https://youtube.com/watch?v=Y3fasOwFCrs)

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### [00:00:00](https://youtube.com/watch?v=Y3fasOwFCrs&t=0) - [00:00:00](https://youtube.com/watch?v=Y3fasOwFCrs&t=0)

The YouTube video "Diferansiyel Denklemler: Diferansiyel Denklem Nedir? ( [Differential Equations](https://www.amazon.com/gp/search?ie=UTF8&tag=summarizetech-20&index=aps&keywords=Differential%20Equations))" explains that a differential equation is a type of equation that includes the derivative of a function. If a function is present in an equation and its derivative is taken, the equation is classified as a differential equation. For example, in the equation y' - 3xy = 4, y is the function, and y' is its derivative. The location of the derivative in the equation determines the derivative's variable. A differential equation consists of an equality of unknown terms, and if a function's derivative is present, the equation is called differential. The goal in solving a differential equation is to determine the function whose derivative is given in the equation, as shown in the example D(ky/Dx) = K + 3(dy/Dx) - 4x y = e^x + 1.

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- **[00:00:00](https://youtube.com/watch?v=Y3fasOwFCrs&t=0)** In this section of the YouTube video titled "Diferansiyel Denklemler: Diferansiyel Denklem Nedir? (Differential Equations)", the speaker explains that a differential equation is a type of equation that contains a derivative of a function. If a function is present in a equation, then we call it a differential equation. For instance, in the equation y' - 3xy = 4, y is the function, and taking the derivative of y results in y'. The meaning of the derivative with respect to x or another variable is determined by the derivative's location in the equation. A differential equation contains an equality of unknown terms, and if a function's derivative is present in the equation, then the equation is called a differential equation. The speaker provides another example, D(ky/Dx) = K + 3(dy/Dx) - 4x y = e^x + 1, which is also a differential equation because it contains derivatives. The speaker emphasizes that the goal in solving a differential equation is to determine the function whose derivative is given in the equation.

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