Exercise 3.3.4. Verify that et and 1e2t are linearly independent. Hint: You must be a et and bit more tricky than in the previous exercise.
First take the three vectors:
e' e1 e' 0 1 y =e-1 -e' 1 1 ye- -e?
Find the wronskian of y1 , y2 and y3 ,
...le e' e2 W(y y)= \ -e -e2 0 e' e2 =(-e +e")-e(e)+ e" (e" ) =-e" +e =0
Q: How do you solve?
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