Zero Wronskian Does Not Imply Linear Dependence We saw that a nonzero Wronskian implies li...

Zero Wronskian Does Not Imply Linear Dependence We saw that a nonzero Wronskian implies linear independence but that the converse is not true. (See Example 12.) Another example follows:

(a) Show that the Wronskian is zero for the functions

(b) Show that the functions f and g are not linearly dependent but independent on (−∞, ∞).