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).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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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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