Find the general solution of each of the following differential equations: sec 2 x tan y dx + sec 2 y tan x dy = 0

Question

Philoid · Accepted Answer

Rearranging the terms we get:

Integrating both the sides we get:

⇒log|tanx| = - log|tany| + logc

⇒ log|tanx| + log|tany| = logc

⇒tanx.tany = c

Ans: tanx.tany = c