How to solve the differential equation, step by step instruction

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What is DIFFERENTIAL EQUATIONs - A differential equation is a mathematical equation that relates some function with its derivatives. In applications, the functions usually represent physical quantities, the derivatives represent their rates of change, and the equation defines a relationship between the two. Because such relations are extremely common, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

In pure mathematics, differential equations are studied from several different perspectives, mostly concerned with their solutions—the set of functions that satisfy the equation. Only the simplest differential equations are solvable by explicit formulas; however, some properties of solutions of a given differential equation may be determined without finding their exact form.

Types of differential equation:
- Ordinary differential equations
- Partial differential equations
- Linear differential equations
- Non-linear differential equations
- Equation order

History:
Differential equations first came into existence with the invention of calculus by Newton and Leibniz. In Chapter 2 of his 1671 work "Methodus fluxionum et Serierum Infinitarum",Isaac Newton listed three kinds of differential equations:

SOLVE:
In video is attached examples to learn to solve differential equation

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Create:Hrvoje Čočić
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