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Class 12 Differential Equations · Mcq Single Correct1 Marksseparable_differential_equations

Class 12 Maths · Differential Equations · Mcq Single Correct #4

The nonconstant solutions of 2xy′ − y = 3 lie on a family of which curves?

✅ Step-by-Step Solution

Final Answer: Option (C): Parabolas
  1. Separation gives y + 3 = C√|x| on an interval excluding 0. Squaring gives parabolic arcs; y = −3 is a constant degenerate case.

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