Answer:
dy/dx = (cos y + y sin x) / (cos x + x sin y)
Step-by-step explanation:
y cos x = x cos y
y (-sin x) + dy/dx cos x = x (-sin y dy/dx) + cos y
-y sin x + dy/dx cos x = -x sin y dy/dx + cos y
dy/dx (cos x + x sin y) = cos y + y sin x
dy/dx = (cos y + y sin x) / (cos x + x sin y)
Observe that

In the original equation, divide both sides by
:


Next,

where
is any integer. Then

Fix
to ensure
, so that

2x^3 + 2x^2 + 5x + 1/ x^2
Assume if it is cloudy, then you are outside.