Q11 of 76 Page 929

Find the general solution of each of the following differential equations:
sec²x tan y dx + sec²y tan x dy = 0

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

Find the general solution of each of the following differential equations:

e^x tan y dx + (1 – e^x) sec² y dy = 0

Find the general solution of each of the following differential equations:

cos x(1 + cos y)dx – sin y(1 + sin x)dy = 0

For each of the following differential equations, find a particular solution satisfying the given condition :

.. where a ∈ R and y = 2 when x = 0.

Find the general solution of each of the following differential equations:sec2x tan y dx + sec2y tan x dy = 0