Q4 of 118 Page 395

For each of the differential equations in question, find the general solution:
sec²x tan y dx + sec²y tan x dy

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

⇒ (tan x) (tan y) = c

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

(e^x + e^–x)dy – (e^x – e^–x)dx = 0

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

For each of the differential equations in question, find the general solution:sec2x tan y dx + sec2y tan x dy