Consider the functional Slu] = [₁² where A is a constant and y is a continuously differentiable function for 1 ≤ x ≤ 2. Let h be a continuously differentiable function for 1 ≤ x ≤ 2, and let € be a constant. Let A = S[y+ ch]— S[y]. dx ln(1+x²y'), y(1) = 0, y(2) = A, = E 2 € f² = dx x²h' 1 + x²y' 2 €² 2 = vanishes if y'(x) satisfies the equation 1 x²¹ dx h(1) h(2) = 0, then the term O(e) in this expansion dy dx с where c is a nonzero constant. x4h2 (1 + x²y')² + 0(€³).
Consider the functional Slu] = [₁² where A is a constant and y is a continuously differentiable function for 1 ≤ x ≤ 2. Let h be a continuously differentiable function for 1 ≤ x ≤ 2, and let € be a constant. Let A = S[y+ ch]— S[y]. dx ln(1+x²y'), y(1) = 0, y(2) = A, = E 2 € f² = dx x²h' 1 + x²y' 2 €² 2 = vanishes if y'(x) satisfies the equation 1 x²¹ dx h(1) h(2) = 0, then the term O(e) in this expansion dy dx с where c is a nonzero constant. x4h2 (1 + x²y')² + 0(€³).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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