NCERT Class 12 · Ch 9 Exercise 9.3 · Q23
NCERT Class 12 Maths · Chapter 9 Differential Equations · Exercise 9.3 Question 23
Choose the general solution of y′=e^(x+y).
💡 Concept Hints
- Identify the domain and the inner and outer functions, or the relevant one-sided limits.
- Apply the appropriate differentiation or limit rule, keep all chain factors, and check exceptional points.
✅ Step-by-Step Solution
Final Answer: A: eˣ+e^(−y)=C.
- Separate e^(−y)dy=eˣdx.
- Integrate −e^(−y)=eˣ+C₁; combine constants to obtain eˣ+e^(−y)=C.
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