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The transformation y=vx reduces (dy)/(dx...

The transformation `y=vx` reduces `(dy)/(dx)=(x+y)/(3x)` to

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(dy)/(dx)=(2x+3y)/(3x+2y)

(dy)/(dx)=(2x-3y)/(3x-2y)

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

(dy)/(dx)=(3x+2y)/(2x-3y)

(dy)/(dx)=x^3y^3-x y

Solve : (dy)/(dx)=(x-3y)/(3x+y)

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

(dy)/(dx)=(3y-x+7)/(x-7y-3)

(x-y)(dy)/(dx)=x+3y

If y=x^(3), then (dy)/(dx)=