Let function g (x,y) = 3x + y ln y sin (1 − x) Assume z as function differentiable at x and y defined implicitly by E : z ³ + y ² = g(x,y) — 2 If additionally, x and y are said to be functions of r and t represented by-rte = x and e = y, use chain rule (multivariate) to r + 2t дz evaluate when r = = -1 and t = 1. at

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Chain Rule. Show all solutions.

Let function g (x,y) = 3x + y ln y sin (1 x)
Assume z as function differentiable at x and y defined implicitly by
E : zy + y² = g(x,y) - 2
If additionally, x and y are said to be functions of r and t represented
by ―rte = x and e = y, use chain rule (multivariate) to
r + 2t
дz
evaluate when r = -1 and t =1.
ət
Transcribed Image Text:Let function g (x,y) = 3x + y ln y sin (1 x) Assume z as function differentiable at x and y defined implicitly by E : zy + y² = g(x,y) - 2 If additionally, x and y are said to be functions of r and t represented by ―rte = x and e = y, use chain rule (multivariate) to r + 2t дz evaluate when r = -1 and t =1. ət
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