(b-40p) Employ the classical fourth-order Runge-Kutta (RK) method to integrate dy =y-t² + 1 dt from t=0 to 0.2 with a st

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B 40p Employ The Classical Fourth Order Runge Kutta Rk Method To Integrate Dy Y T 1 Dt From T 0 To 0 2 With A St 1 (22.51 KiB) Viewed 26 times

B 40p Employ The Classical Fourth Order Runge Kutta Rk Method To Integrate Dy Y T 1 Dt From T 0 To 0 2 With A St 2 (22.51 KiB) Viewed 26 times

B 40p Employ The Classical Fourth Order Runge Kutta Rk Method To Integrate Dy Y T 1 Dt From T 0 To 0 2 With A St 3 (23.63 KiB) Viewed 26 times

B 40p Employ The Classical Fourth Order Runge Kutta Rk Method To Integrate Dy Y T 1 Dt From T 0 To 0 2 With A St 4 (67.58 KiB) Viewed 26 times

(b-40p) Employ the classical fourth-order Runge-Kutta (RK) method to integrate dy =y-t² + 1 dt from t=0 to 0.2 with a step size of 0.05. The initial condition at t=0 is y=0.5. (c-20p) Compare the true percent relative error values ( [&]%) Note that the exact (analytical) solution was given in the tables.
t 0.0 0.05 0.1 0.15 0.2 Ytrue 0.50000 0.57686 0.65741 0.74158 0.82929 YFourth-Order RK 0.50000 |&t (%) -www.
the classical fourth-order RK method: 141 = 1 + 1 +2k2 + 23 + Rah • 1 = f( x) 3 k = ਆ + ਤੇ ਨਾ + ਕ ਜੋਤ = + ਸ਼ੈ), + ਯੂਨ ks 3 kੜ = f(x3 +1, 1 +k3h) t relative error alue-approximation true value 100%