CBSE Class 12 Mathematics 2026 Main Paper 65/2/3 · Q151 Marksseparation
CBSE Class 12 Mathematics 2026 Main Paper 65/2/3 · Question 15 (Differential Equations)
Choose the listed general solution for x²dy+y²dx=0.
✅ Step-by-Step Solution
Final Answer: 1/y+1/x=k
- On intervals where x and y are nonzero, divide by x²y² to get dy/y²+dx/x²=0. Integration gives 1/y+1/x=k. The identically zero function y=0 also satisfies the original equation.
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