Show that ( x y^{3}-x y^{3} sin x=1 ) is an implicit solution to the differential equation [ frac{d y}{d x}= frac{(x cos (x)+ sin (x)-1) y}{3(x-x sin x)} ] on the interval ( left(0, frac{ pi}{2} right) ).

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Show that  ( x y^{3}-x y^{3}  sin x=1  ) is an implicit solution to the differential equation  [  frac{d y}{d x}= frac{(x  cos (x)+ sin (x)-1) y}{3(x-x  sin x)}  ] on the interval  (  left(0,  frac{ pi}{2} right)  ).

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(Solved): Show that \( x y^{3}-x y^{3} \sin x=1 \) is an implicit solution to the differential equation \[ \f ...

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