File: Initial Value Problem Differential Equations 176446 | Chapter 3
higher order linear differential equations 1 higher order differential equations n n 1 consider the differential equation y p x y p x y p x y 0 n 1 ...
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...Higher order linear differential equations n consider the equation y p x general solution th a of above homogeneous on some interval i is function form c where yn are linearly independent solutions basis theorem existence and uniqueness ivp if pn in continuous an open then initial value problem has unique ode wronskian defined as w dependence independence let be either zero for all or no only third b functions show that satisfies prove always never can you extend results to nth with constant coefficients characteristic case distinct roots corresponding e ii multiple m iii complex simple cos s...