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Differential Equation Part -1 (Order & Degree of differential Equation), Mathematics, CSE, GATE Video Lecture - Computer Science Engineering (CSE)
FAQs on Differential Equation Part -1 (Order & Degree of differential Equation), Mathematics, CSE, GATE Video Lecture - Computer Science Engineering (CSE)
| 1. What is the order of a differential equation? |  |
Ans. The order of a differential equation is the highest power of the derivative present in the equation. For example, if the equation contains only the first derivative, it is a first-order differential equation. If it contains the second derivative, it is a second-order differential equation, and so on.
| 2. What is the degree of a differential equation? | |
Ans. The degree of a differential equation is the highest power of the highest derivative present in the equation. It is determined after the equation has been simplified and rearranged. For example, if the highest power of the derivative is 2 and it is raised to the power of 3, the degree of the differential equation is 6.
| 3. How do you determine the order and degree of a differential equation? | |
Ans. To determine the order of a differential equation, count the highest power of the derivative present in the equation. To determine the degree, simplify and rearrange the equation to find the highest power of the highest derivative present.
| 4. Can a differential equation have different orders and degrees? | |
Ans. Yes, a differential equation can have different orders and degrees. The order and degree of a differential equation depend on the highest power of the derivative and the highest power of the highest derivative present in the equation, respectively. These can vary depending on the specific form of the equation.
| 5. What is the significance of the order and degree of a differential equation? | |
Ans. The order and degree of a differential equation provide important information about the complexity and behavior of the equation. Higher order and degree equations are generally more difficult to solve and may require advanced mathematical techniques. The order and degree also help classify different types of differential equations and determine the appropriate methods for solving them.
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