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
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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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