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Solve: sec^2x.tan y dx + sec^2y.tan x dy = 0.

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in Differential equations by (33.1k points)

Solve: sec2x.tan y dx + sec2y.tan x dy = 0.

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1 Answer

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Best answer

The given differential equation is

sec2x.tan y dx + sec2y.tan x dy = 0

(sec2x/tan x) dx + (sec2y/tan y) dy = 0 

Integrating, we get 

log tan x + log tan y = log c

(tan x tan y) = c

which is the required solution

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