First verify that the given vectors are solutions of the given system. Then use the Wronskian to show that they are line
Posted: Thu May 05, 2022 6:45 pm
First verify that the given vectors are solutions of the given system. Then use the Wronskian to show that they are linearly independent. Finally, write the general solution of the system. - 21 - 22 2 1 1 44: - 3t 3t X' = 18 19 - 2 X; X₁ = e - 3 - 1 X3 = et - 18 - 18 3 3 1 - 3t - 21 - 22 2 - 21 - 22 2 4 e 18 - 3t 19 18 - 2 x₁ = 19 - 2 - 3e =X₁' - 18 - 18 3 - 18 - 18 3 - 3t 3 e • =
The Wronskian of the solutions is W = Are the solutions linearly independent?
The Wronskian of the solutions is W = Are the solutions linearly independent?