why not the 2nd order linear homogeneous ODEs have three Linearly independent solutions or more? I know for the characteristic equation, we can only find 2 answers but.. just wondering if that is the only case to solve the question and if it is, then why it has to be.(adsbygoogle = window.adsbygoogle || []).push({});

so my question is,

1. 2nd order linear homogeneous ODE has 2 general solutions. but why?

2. derivation?

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# Why does the 2nd order homogeneous linear ODE have 2 general solutions?

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