Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies. u(2, 1) = −2 v(2, 1) = −1 us(2, 1) = −3 vs(2, 1) = −4 ut(2, 1) = 5 vt(2, 1) = −6 Fu(−2, −1) = 0 Fv(−2, −1) = 4 Find Ws(2, 1) and Wt(2, 1).
Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies. u(2, 1) = −2 v(2, 1) = −1 us(2, 1) = −3 vs(2, 1) = −4 ut(2, 1) = 5 vt(2, 1) = −6 Fu(−2, −1) = 0 Fv(−2, −1) = 4 Find Ws(2, 1) and Wt(2, 1).
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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Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies.
u(2, 1) | = | −2 | v(2, 1) | = | −1 | |
us(2, 1) | = | −3 | vs(2, 1) | = | −4 | |
ut(2, 1) | = | 5 | vt(2, 1) | = | −6 | |
Fu(−2, −1) | = | 0 | Fv(−2, −1) | = | 4 |
Find Ws(2, 1) and Wt(2, 1).
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