1. Using the eigenvalue method, solve the initial value problem. Leave your solution in real-valued form. (b) (a) x1 = x2, x2 = -5x1 - 4x2, x1(0) = 1, x2(0) = 0. Classify the linear system from part (a) and sketch a phase portrait.

Solve the system d + = dt -1 with x1(0) = 1 and x2(0) = -1.

Consider the linear system 3 *' = 27 a. Find the eigenvalues and eigenvectors for the coefficient matrix. help (numbers) help (matrices) A1 = , 01 = and help (numbers) help (matrices) 12 = , v2 = Find the real-valued solution to the initial value problem x = -3x1 – 2x2, x = 5x1+3x2, x1(0) = -4, x2(0) = 10. Use t as the independent variable in your answers. help (formulas) T2(t) help (formulas) OK Learn more Cookies help us deliver our services. By using our services, you agree to our use of cookies.

Solve the system -1 -6 dx dt 1 -6 with the initial value 4 x(0) = x(t)