12 Exercise 4 2 3 Suppose We Require The Algebraic Condition That F X Y G X H Y Show That H 0 Implies 1 1 (55.04 KiB) Viewed 19 times
differential geometry
12 Exercise* 4.2.3. Suppose we require the algebraic condition that f(x, y) = g(x) +h(y). Show that H = 0) implies (1 + (y))x"(x) + (1 + $'?(x))"(y) = 0. Separate variables and solve (see Subsection 4.9.4). Infer that 1 f(x, y)= - In COS AY COS (1.X (1
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