Second Order De
The general solution of d²y/dx² = 0 is
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About This Question
- Subject
- mathematics
- Chapter
- differential equations
- Topic
- second order de
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
y = Ax + B
- Double Integration: Treat the second derivative as a derivative of a derivative.
- dxd(dxdy)=0
- First Integral: Integrating 0 with respect to x gives a constant (A).
- dxdy=A
- Second Integral: Integrating the constant A with respect to x gives Ax+B.
- y=∫Adx=Ax+B.
- Conclusion: This is the equation of a straight line, representing all functions with zero curvature.
This easy difficulty mathematics question is from the chapter differential equations, covering the topic of second order de. It appeared in the 2025 exam.
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