Math Problem Statement
Given that tan u
x 3 + y 3 x − y tanu= x−y x 3 +y 3
, prove that:
x 2 ∂ 2 u ∂ x 2 + 2 x y ∂ 2 u ∂ x ∂ y + y 2 ∂ 2 u ∂ y 2
2 cos ( 3 u ) sin u x 2
∂x 2
∂ 2 u +2xy ∂x∂y ∂ 2 u +y 2
∂y 2
∂ 2 u =2cos(3u)sinu
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Implicit Differentiation
Partial Derivatives
Formulas
Quotient rule
Trigonometric identities
Theorems
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Suitable Grade Level
Advanced Undergraduate
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