Advanced Engineering Mathematics, 7th Edition

11 Chapter in Review Answers to selected odd-numbered problems begin on page ANS-31.

Answer Problems 1–10 without referring back to the text. Fill in the blank or answer true/false.

1. The second-order differential equation x″ + f(x′) + g(x) = 0 can be written as a plane autonomous system.
2. If X = X(t) is a solution of a plane autonomous system and X(t₁) = X(t₂) for t₁ ≠ t₂, then X(t) is a periodic solution.
3. If the trace of the matrix A is 0 and det A ≠ 0, then the critical point (0, 0) of the linear system X′ = AX may be classified as .
4. If the ...