Answer Happy

I. Answer the following questions about the differential equation: + ²y + e-x²³y¹ = 0 (1) Using u = y-³, express Eq. (1) as a linear first-order differential equation of u. dy dx - x²y 1. 2. Find the general solution of Eq. (1), using the solution of Question I.1.

II. Answer the following questions about matrix A: '1 -1 -2 2 4 2 1 1 4 A = 1. 2. Obtain all eigenvalues of the matrix A and their corresponding eigenvectors. Calculate A", using the solution of Question II.1.