For each of the differential equations in question, find the general solution: sec 2 x tan y dx + sec 2 y tan x dy

Question

Philoid · Accepted Answer

Dividing both sides by (tanx)(tany)

Integrating both sides,

⇒ lettan x = t &tany = u

⇒ log t = -log u + log c

Or,

⇒ log(tanx) = -log(tany) + log c

Or

⇒ (tan x) (tan y) = c