W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(6,-4)= 3, u,(6,-4)= 9, (6,-4)= -9, v(6,-4)= -8, v,(6,-4)= -6, v(6,-4) = -1, -4, then find the following: F(3,-8)= 8, and F₂(3, -8)= W,(6,-4) = W₁(6,-4)=
W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(6,-4)= 3, u,(6,-4)= 9, (6,-4)= -9, v(6,-4)= -8, v,(6,-4)= -6, v(6,-4) = -1, -4, then find the following: F(3,-8)= 8, and F₂(3, -8)= W,(6,-4) = W₁(6,-4)=
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
How do you find the following?
![W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable.
If u(6,-4)= 3, u,(6,-4)= 9, u(6,-4)= -9, v(6,-4) = −8, v,(6,-4)= -6, vt(6,-4) = −1,
Fu(3,-8)= 8, and F₂(3, -8)= -4, then find the following:
W,(6,-4)=
W₁(6,-4):](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc05bac74-9392-4bb0-9ff6-f7e027936b2b%2F363dd860-a44e-4515-90ea-a7413669046d%2Fu5u3lf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable.
If u(6,-4)= 3, u,(6,-4)= 9, u(6,-4)= -9, v(6,-4) = −8, v,(6,-4)= -6, vt(6,-4) = −1,
Fu(3,-8)= 8, and F₂(3, -8)= -4, then find the following:
W,(6,-4)=
W₁(6,-4):
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