I'm having some trouble getting my head around the concept of multiple solutions of differential equations of higher order, that is the general solution to a linear homogeneous equation is a linear combination of constants and solutions like y(1)C1 + y(2)C2 +y(n)C(n) where N is the order of the differential equation. I understand that there will be multiple constants because even if it's in a roundabout way to solve the equation n integrations are neccessary, but for say a second order equation why will there be 2 solutions, and not one? Or three?(adsbygoogle = window.adsbygoogle || []).push({});

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# Need help understanding linear equations of higher order

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