Q. 44.1( 39 Votes )

# For each of the differential equations in question, find the general solution:

sec^{2}x tan y dx + sec^{2}y tan x dy

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

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