Identify the general solution of the differential equation sec²x tan y dx + sec²y tan x dy = 0.
Identify the general solution of the differential equation sec²x tan y dx + sec²y tan x dy = 0.
- A. tan x + tan y = C
- B. tan x / tan y = C
- C. tan x tan y = C
- D. sec x sec y = C
Answer: C) tan x tan y = C
Explanation: Divide by (tan x tan y): (sec²x/tan x)dx + (sec²y/tan y)dy = 0. Integrating gives log|tan x| + log|tan y| = log C → tan x tan y = C.
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