(1.3) Consider the ODE , where x is a real function. (A) This is a time-invariant ODE. (B) This ODE is nonlinear. (C) This ODE has two equilibria. (D) The equilibria of this ODE are -1 and 1. (E) All of the above are TRUE.

(1.1) Let L [·] denotes the Laplace transform. (A) The Laplace transform is a linear operation. (B) If L[F(t)] = F(s), then L[t2F(t)]= F(S)(C) If L[f(t)] = F(s) , then L = SF(s) - f(0). (D) If L[f(t)] = F(s) and L[g(t)] = G(s), then L[f* g(t)] = F(s)G(s), where * denotes the convolution integral. (E) All of the above statements are TRUE.

(1.3) Consider the ODE , where x is a real function. (A) This is a time-invariant ODE. (B) This ODE is nonlinear. (C) This ODE has two equilibria. (D) The equilibria of this ODE are -1 and 1. (E) All of the above are TRUE.

其他試題

(1.3) Consider the ODE , where x is a real function.
(A) This is a time-invariant ODE.
(B) This ODE is nonlinear.
(C) This ODE has two equilibria.
(D) The equilibria of this ODE are -1 and 1.
(E) All of the above are TRUE.