question archive (a) Solve the IVP: y′′ + 2y′ + y = 0 , y(0) = 0 , y′(0) = 1
(a) Solve the IVP: y′′ + 2y′ + y = 0 , y(0) = 0 , y′(0) = 1
Subject:MathPrice: Bought3
(a) Solve the IVP: y′′ + 2y′ + y = 0 , y(0) = 0 , y′(0) = 1. Evaluate lim t→∞ y(t), justify
your answer.
(b) Solve the IVP: y′′+2y′+2y=0, y(0)=1, y′(0)=0.
(c) Solve the IVP: t2y′′ +3ty′ +2y = 0, t > 0 y(1) = 1, y′(1) = 0 by first obtaining a fundamental set of solutions {y1,y2} for the ODE. You MUST verify that your solutions {y1,y2} form a fundamental set.
