In Problems 9-13, determine whether the given relation is an implicit solution to the given differential...

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In Problems 9-13, determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicitly as a function of x and use implicit differentiation. dy dx = x-y 9. x+ y = 4, dy 2xy 10. y-lny = x+1, dx 11. ey+y=x-1, dy = y-1 exy-y e-xy + x dx dy 12. x2sin(x + y) = 1, = 2x sec (x + y) - 1 dx 13. sin y + xy-x = 2, y" = = 6xy' + (y')sin y-2 (y') 2 W.noinulos 3x-y moldogg In Problems 9-13, determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicitly as a function of x and use implicit differentiation. dy dx = x-y 9. x+ y = 4, dy 2xy 10. y-lny = x+1, dx 11. ey+y=x-1, dy = y-1 exy-y e-xy + x dx dy 12. x2sin(x + y) = 1, = 2x sec (x + y) - 1 dx 13. sin y + xy-x = 2, y" = = 6xy' + (y')sin y-2 (y') 2 W.noinulos 3x-y moldogg