General existence theorem: Difference between revisions
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[[Category:Differential Equations]] | |||
Every [[Second order linear ODE|Second order linear homogeneous ODE]] with continuous coefficients has a fundamental set of solutions. | Every [[Second order linear ODE|Second order linear homogeneous ODE]] with continuous coefficients has a fundamental set of solutions. | ||
This is proven by handpicking a set of initial conditions such that the [[Wronskian]] is 1. | This is proven by handpicking a set of initial conditions such that the [[Wronskian]] is 1. |
Revision as of 22:57, 21 May 2024
Every Second order linear homogeneous ODE with continuous coefficients has a fundamental set of solutions.
This is proven by handpicking a set of initial conditions such that the Wronskian is 1.