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Ch4-Sec(4.1): Higher Order Linear ODEs: General Theory

Ch4-Sec(4.1): Higher Order Linear ODEs: General Theory. An n th order ODE has the general form We assume that P 0 ,…, P n , and G are continuous real-valued functions on some interval I = (  ,  ), and that P 0 is nowhere zero on I . Dividing by P 0 , the ODE becomes

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Sec 4.3: Homog DE (with constant Coefficients)

Sec 4.3: Homog DE (with constant Coefficients). Consider the second order linear DE. Find the Auxiliary equation of:. Find 2-Lin. Indep. Solutions:. HOW ??. Method (2ed order DE with constant coeff ). Given a homg DE:. Step 1. Find the Auxiliary equation:. Step 2. Find roots.

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