Consider the differential equation

(1) x (t ) = 27) x + ( 1 ) . a) Determine the constant solution / equilibrium solution X, of (1). b) Determine the eigenvalues A1, 12 and eigenvectors v1, V2 of A = 2 c) Compute the Wronskian W[x(]), x2)](t) with x (1) (t) = elitv1, x(2)(t) = etztv2 for a choice of eigenvectors V1, V2. d) Determine the solution of the IVP 2 x' (t)= 2 1 * + X(0) = (1, 1 ) 7. Hint: Determine c1, C2, such that x(t) = cix(")(t) + cox()(t) + X, is a solution.)