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Posted: **Tue Sep 07, 2021 7:36 am**

: Problem 6 Show That The Relation Xy Y 3 Cos X 0 Where C Is An Arbitrary Constant Defines An Implicit Solution T 1 (135.18 KiB) Viewed 243 times

: Problem 6 Show That The Relation Xy Y 3 Cos X 0 Where C Is An Arbitrary Constant Defines An Implicit Solution T 2 (58.54 KiB) Viewed 243 times

Problem 6 Show that the relation xy + y + 3 cos(x) = 0 (where c is an arbitrary constant) defines an implicit solution to the differential equation 3 sin x – y3 y' 3x y2 + 1 = Hint: Use implicit differentiation on the solution.
Find the equation of the curve that passes through the point (4, 3) and whose slope at each point (x, y) is et-y.