Consider the problem u' (t): = ku, u(0) = 1 for constant k and t >...

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Consider the problem u' (t): = ku, u(0) = 1 for constant k and t > 0. (a) Find an explicit formula in terms of h, k, and i for the Euler solution u, at t = ih. (b) Find values of k and h such that |u¡ | → ∞ as i →∞ while the exact solution u(t) is bounded as t → ∞. Create a numerical demonstration of this fact. O Consider the problem u' (t): = ku, u(0) = 1 for constant k and t > 0. (a) Find an explicit formula in terms of h, k, and i for the Euler solution u, at t = ih. (b) Find values of k and h such that |u¡ | → ∞ as i →∞ while the exact solution u(t) is bounded as t → ∞. Create a numerical demonstration of this fact. O

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a To find an explicit formula for the Euler solution u at t ih we can use the Eulers method for numerical approximation The Eulers method uses the fol... View the full answer