CBSE Class 12 Mathematics 2026 Main Paper 65/2/2 · Q41 Markshomogeneous_equations
CBSE Class 12 Mathematics 2026 Main Paper 65/2/2 · Question 4 (Differential Equations)
Choose the listed general solution for x dy−y dx=0.
✅ Step-by-Step Solution
Final Answer: x=ky
- On x≠0, d(y/x)/dx=0, giving y=Cx. Nonzero-slope solutions can be written as x=ky. The horizontal solution y=0 also satisfies the differential equation.
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