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NCERT Class 12 · Ch 9 Miscellaneous Exercise · Q15

NCERT Class 12 Maths · Chapter 9 Differential Equations · Miscellaneous Exercise Question 15

Choose the general solution of eˣdy+(yeˣ+2x)dx=0.

💡 Concept Hints

  1. Identify the domain and the inner and outer functions, or the relevant one-sided limits.
  2. Apply the appropriate differentiation or limit rule, keep all chain factors, and check exceptional points.

✅ Step-by-Step Solution

Final Answer: C: yeˣ+x²=C.
  1. The differential form equals d(yeˣ+x²).
  2. Integrate the exact differential to obtain yeˣ+x²=C.

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