NCERT Class 12 · Ch 9 Exercise 9.3 · Q4
NCERT Class 12 Maths · Chapter 9 Differential Equations · Exercise 9.3 Question 4
Solve sec²x tan y dx+sec²y tan x dy=0.
💡 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: \(\tan{\left(x \right)} \tan{\left(y \right)}\) = C.
- The left side is exactly d(tan x tan y).
- Hence tan x tan y=C on the original secant domain. This implicit form also retains zero-constant branches.
- Differentiate the resulting relation to recover the equation on intervals where the original expressions and the required slope are defined.
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