7tin alphaquad sic^(2)y(dy)/(dx)+x*tan y=x^(3)

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sec ^ (2) y (dy) / (dx) + x tan y = x ^ (3)

(dy)/(dx)+y tan x=sec x

(dy)/(dx)+y sec x=tan x

(dy)/(dx)=1+x tan(y-x)

dy/dx- y tan x = e^(2)

(dy)/(dx)=tan^(2)(x+y)

x(dy)/(dx)=y-x(tan y)/(x)dydx

x(dy)/(dx)=y-x "tan" (y)/(x)

(dy)/(dx) = y tan x - 2 sinx