Find the general solution of y''' - 2y'' - y' + 2y = 0 from its auxiliary equation
PHYSICS · Subjective · Fermi University Physics · Mathematical Methods for Physics · Ordinary differential equations · Ordinary differential equations
Mathematical Methods for Physics, Ch Higher-order linear equations, the Wronskian and variation of parameters
Problem
Find the general solution of y′′′−2y′′−y′+2y=0 from its auxiliary equation. Then find the solution with y(0)=0, y′(0)=0 and y′′(0)=6, and evaluate y(1) to three significant figures.