(a) Compute eAt for 1 -1 A = Solve the following linear nonhomogeneous system: et x = x1 – x2 + t2 +1 x, = 2x2 Hint: use Variation of Parameters. Warning: note that because matrices do not commute, so...

[Ordinary Differential Calculus] How do you solve b)?

Extracted text: (a) Compute eAt for 1 -1 A = Solve the following linear nonhomogeneous system: et x = x1 – x2 + t2 +1 x, = 2x2 Hint: use Variation of Parameters. Warning: note that because matrices do not commute, so the method from HW7 will not work. (b) Compute eAt for - A : 1 Solve the following linear nonhomogeneous system: x = x1 – x2 + 4 x2 = x1 + 3x2 + e² Hint: use Undetermined Coefficients method. 3. ||