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The curve satisfying the equation (dy)/(...

The curve satisfying the equation `(dy)/(dx)=(y(x+y^3))/(x(y^3-x))` and passing through the point `(4,-2)` is (a) `( b ) (c) (d) y^(( e )2( f ))( g )=-2x (h)` (i) (b) `( j ) (k) y=-2x (l)` (m) (c) `( d ) (e) (f) y^(( g )3( h ))( i )=-2x (j)` (k) (d) None of these

A

` y^2 =- 2 x `

B

` y=- 2x`

C

` y^3 =- 2x `

D

` Y^3 =- 2 x`

Text Solution

Verified by Experts

The correct Answer is:
C
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