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 +
Posted: Thu May 12, 2022 9:41 am
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
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