Linear De
The differential equation dy/dx + Py = Q is called
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About This Question
- Subject
- mathematics
- Chapter
- differential equations
- Topic
- linear de
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
Linear first order DE
- Linearity Criteria: An equation is linear if the dependent variable (y) and its derivatives appear only to the first power and are not multiplied together.
- Form Analysis: dxdy+P(x)y=Q(x) satisfies these criteria.
- Terms: P(x) and Q(x) are continuous functions of x.
- Method of Solution: This type is standardly solved using an Integrating Factor (I.F.) =e∫P(x)dx.
This easy difficulty mathematics question is from the chapter differential equations, covering the topic of linear de. It appeared in the 2025 exam.
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