The solution of differential equation $$dydx=1$$−$$x(y$$−$$x)$$−$$x3(y$$−$$x)3$$ is

Correct option is 3y−x−2=cex2−1+x2

Questions

$The solution of differential equation \frac{d y}{d x} = 1 - x (y - x) - x^{3} (y - x)^{3} is$

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y−x−2=cex2−1-x2

y+x−2=cex2−x2

y−x−2=cex2−1+x2

None of these

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detailed solution

Correct option is C

Put y−x=v⇒dvdx+Vx=−x3v2 v−3dvdx+xv−2=−x3 put V−2=u⇒dudx−2xu=2x3 G.S. is (y−x)−2=cex2−1+x2

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The solution of differential equation dydx=1−x(y−x)−x3(y−x)3 is

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$The solution of differential equation \frac{d y}{d x} = 1 - x (y - x) - x^{3} (y - x)^{3} is$