First verify that the given vectors are solutions of the given system. Then use the Wronskian to show that they are line

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First Verify That The Given Vectors Are Solutions Of The Given System Then Use The Wronskian To Show That They Are Line 1 (44.82 KiB) Viewed 43 times

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. -18-21-1 X' = E---- 15 18 1 X; X₁ = - 15 - 15 2 (-) -3 -18 -21 -1 - 18 - 21 4 e -12, -3t 15 18 15 18 -3e-3t 9e-3t - 15 - 15 - 15 - 15 3e-3t -9e-3t - 18 - 21 - 18 - 21 2e2t 15 18 1 X₂= 15 18 1 -2e²=X₂' - 15 - 15 2 15 - 15 2e²t -18 -21 -1 - 18 - 21 15 18 1 X3 = 15 18 - 15 - 15 2 - 15 - 15 The Wronskian of the solutions is W = 1 x₁ = 2 -1 1 1 2 18 e 0 = 3e 3t -3, 3t 0 =X3' =X₁' Only find the Wronksian please.