Differential EquationsEasySystems of Differential Equations ShareSystems of Differential Equations · Easy problemThe vector functions x1(t)=e2t(11)\mathbf x_1(t)=e^{2t}\begin{pmatrix}1\\1\end{pmatrix}x1(t)=e2t(11) and x2(t)=e−t(1−2)\mathbf x_2(t)=e^{-t}\begin{pmatrix}1\\-2\end{pmatrix}x2(t)=e−t(1−2) both solve x′=(1120)x\mathbf x'=\begin{pmatrix}1&1\\2&0\end{pmatrix}\mathbf xx′=(1210)x. Find their Wronskian W(t)=det[x1(t) x2(t)]W(t)=\det\big[\mathbf x_1(t)\ \ \mathbf x_2(t)\big]W(t)=det[x1(t) x2(t)] at t=ln2t=\ln 2t=ln2.Check Show answer Walk through it step by step Practice more like this Review this concept