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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. a) b) x-tan (y-x) = 3, sin y + xy-x³ = 2, dy dx =1+3x² cos² (y-x) 6xy' + (y')³sin y-2(y')² 3x²-y

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. a) b) x-tan (y-x) = 3, sin y + xy-x³ = 2, dy dx =1+3x² cos² (y-x) 6xy' + (y')³sin y-2(y')² 3x²-y

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 3 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. a) b) x-tan (y-x) = 3, sin y + xy - x³ = 2. dy dx = 1+3x² cos²(y-x) 6xy' + (y')³sin y-2(y')² 3x²-y
Transcribed Image Text:Question 3 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. a) b) x-tan (y-x) = 3, sin y + xy - x³ = 2. dy dx = 1+3x² cos²(y-x) 6xy' + (y')³sin y-2(y')² 3x²-y
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