Solve the IVP on [0, 1] with uniform time step size h us- ing Euler's method, 2nd Taylor method and 2nd Runge-Kutta meth

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Solve The Ivp On 0 1 With Uniform Time Step Size H Us Ing Euler S Method 2nd Taylor Method And 2nd Runge Kutta Meth 1 (32.33 KiB) Viewed 32 times

Solve the IVP on [0, 1] with uniform time step size h us- ing Euler's method, 2nd Taylor method and 2nd Runge-Kutta method. Sy = -10y, {y(0) = 1. Please solve the exact solution y(t) of the IVP and complete the fol- lowing accuracy table at t = 1. error(h) = y(1) - WN error(2h) order(h) = log2 error(h) Table 1: Accuracy Table at t = 1. Euler Taylor Runge kutta error (h) order(h) crror(h) order(h) error (h) order(b) h 1/20 1/40 1780 1/160 1/320