This is the simplest method to explain numerically solving an ODE, more precisely, an initial value problem
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This is the simplest method to explain numerically solving an ODE, more precisely, an initial value problem (IVP). Using the method, to get a feel for numerics as well as for the nature of IVPs, solve the IVP numerically with a PC or a calculator, 10 steps. Graph the computed values and the solution curve on the same coordinate axes.
y' = y, y(0) = 1, h = 0.01
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y e x The computed value for x 01 shows that its error has decreased by about a factor 10 This is t...View the full answer
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