- Determine Whether The Given Relation Is An Implicit Solution To The Given Differential Equation Assume That The Relatio 1 (14.84 KiB) Viewed 343 times
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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. sin y + 9xy - x = 7,7'' = 12x²y' + (y) 3 sin y - 18(y')2 4x3 -9 12x2y' + (y) 3 sin y- 18(70)2 Applying implicit differentiation to the equation gives which equivalent to y'' = Therefore, sin y + 9xy - x4 = 7 4x3-9y solution to the differential equation. (Type an equation.)