Bernoulli's Equation
The differential equation dy/dx + Py = Qyⁿ is called
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About This Question
- Subject
- mathematics
- Chapter
- differential equations
- Topic
- bernoulli's equation
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
Bernoulli's equation
- Form Recognition: This is a non-linear first-order differential equation because of the yn term (where n=0 and n=1).
- Transformation: It can be converted back to a linear equation using the substitution v=y1−n.
- Resulting Linear Form: dxdv+(1−n)Pv=(1−n)Q.
- Identification: This specific structure is named Bernoulli's Equation.
This easy difficulty mathematics question is from the chapter differential equations, covering the topic of bernoulli's equation. It appeared in the 2025 exam.
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