Example 3.2.1

Here is how you can calculate the Wronskian in Mathematica:

Wronskian[y1_,y2_]:=Det[{{y1,y2},{D[y1,t],D[y2,t]}}]

Wronskian[Exp[2t],Exp[-3t/2]]

Example 3.2.6

Here is how you can calculate the Wronskian in Mathematica:

Wronskian[y1_,y2_]:=Det[{{y1,y2},{D[y1,t],D[y2,t]}}]

Wronskian[Cos[t]^2,1+Cos[2t]]

Simplify[%]