Question: Solve y - y = 0 for the initial conditions y(0) = 1, y'(0) = -1. Then change the initial conditions to y(0) = 1.001,
Solve y" - y = 0 for the initial conditions y(0) = 1, y'(0) = -1. Then change the initial conditions to y(0) = 1.001, y' (0) = -0.999 and explain why this small change of 0.001 at t = 0 causes a large change later, e.g., 22 at t = 10. This is instability: a small initial difference in setting a quantity (a current, for instance) becomes larger and larger with time t. This is undesirable.
Step by Step Solution
3.48 Rating (148 Votes )
There are 3 Steps involved in it
By making the initial conditions of the system more nearly equal the current becomes less and less l... View full answer
Get step-by-step solutions from verified subject matter experts
