CBSE Class 12 Mathematics 2026 Main Paper 65/5/2 · Q283 Marksexact_differentials
CBSE Class 12 Mathematics 2026 Main Paper 65/5/2 · Question 28 (Differential Equations)
Solve y dx+(x−y³)dy=0.
✅ Step-by-Step Solution
Final Answer: xy−y⁴/4=C.
- The first two terms y dx+x dy form d(xy).
- The remaining term −y³dy equals −d(y⁴/4).
- Integrate the exact differential to obtain the constant-level equation.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The first two terms y dx+x dy form d(xy).
- [2 marks] The remaining term −y³dy equals −d(y⁴/4).
- [0.5 marks] Integrate the exact differential to obtain the constant-level equation.
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