Intuition of Wronskian determinant and linear independence

linear-algebra determinant

Intuition:

Because Abel's Formula. it states that: $$W[y_1,\ldots,y_n]=Ce^h(x)$$ Since $e^h(x)\neq 0$ the only posibility to $W=0$ is when $C=0$, so $w=0$ always. The linear independence comes for the determinant of Wronskian, take a look of http://en.wikipedia.org/wiki/Abel%27s_identity.

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