x cos(dx)/(dy)=y-x tan((y)/(x))...

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

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Solve: x(dy)/(dx)=y-x tan((y)/(x))

The solution of the equation x(dy)/(dx)=y-x tan((y)/(x)) is

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

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

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

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

The general solution of x(dy)/(dx)=y-x tan(y/x) is ……. .

Solve: x (dy)/(dx)- y-x tan . (y/x) . = 0

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

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