Differential Equations Quiz
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Consider the initial value problem y′=−100(y−cos⁡(t))−sin⁡(t)y' = -100(y - \cos(t)) - \sin(t), with y(0)=1y(0)=1. The exact analytic solution is yA(t)=cos⁡(t)y_A(t) = \cos(t). If a standard explicit numerical method, such as the forward Euler method, is used to approximate the solution, what is the primary challenge that will be encountered?
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