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Introduction to Differential Equations (includes Order and Degree of a Differential Equation) Video Lecture | Mathematics (Maths) Class 12 - JEE

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FAQs on Introduction to Differential Equations (includes Order and Degree of a Differential Equation) Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is a differential equation?
Ans. A differential equation is an equation that relates an unknown function to its derivatives. It involves the rates at which the function changes with respect to one or more independent variables. Differential equations are widely used in various fields of science and engineering to model real-world phenomena.
2. What is the order of a differential equation?
Ans. The order of a differential equation is the highest order of the derivative present in the equation. It represents the number of times the unknown function is differentiated. For example, if the equation involves only the first derivative of the function, it is a first-order differential equation.
3. What is the degree of a differential equation?
Ans. The degree of a differential equation is determined by the highest power of the derivative that appears in the equation. It represents the highest power to which the highest order derivative is raised. The degree is applicable only for polynomial differential equations.
4. How are differential equations classified based on their order and degree?
Ans. Differential equations can be classified into different types based on their order and degree. A first-order differential equation has a maximum order of 1, while a second-order differential equation has a maximum order of 2. Similarly, the degree can be used to classify differential equations into linear or nonlinear, where linear equations have a degree of 1.
5. What are some applications of differential equations in real life?
Ans. Differential equations find applications in various fields such as physics, engineering, economics, biology, and computer science. They are used to model and analyze systems involving rates of change, growth, decay, fluid flow, electrical circuits, population dynamics, heat transfer, and many other phenomena. These equations help in understanding and predicting the behavior of complex systems.
204 videos|288 docs|139 tests

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