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Implement the classical procedure, and apply it to equation, Solve it with step sizes bf h...

Implement the classical procedure, and apply it to equation, Solve it with step sizes bf h = 0.25 and 0.125 Compare with resu

Implement the classical procedure, and apply it to equation, Solve it with step sizes bf h = 0.25 and 0.125 Compare with results in Table 8.13, the fourth order Fehlberg example. 8.5 (9) LAB. Implement the classical procedure (8.82), and apply it to equation (8.66). Solve it with stepsizes of h = 0.25 and 0.125 Compare with results in Table 8.13, the fourth- order Fehlberg example. Y'(x) = -Y(x) + 2 cos(x), Y(0) = 1 (8.66) h Runge-Kutta methods of higher order can also be developed. A popular classical method is the following fourth-order procedure: Vi = f (xr, yn) h v2 = f (x+ Yn + 03 = (x + 7. Ya+202) (8.82) 14 = f (x +h, yn + huz) h Yn+1 = y + z lui + 2v2 + 2v3 + va] x Table 8.13. Example of Fourth-Order Fehlberg Formula (8.86) h yn(x) Y(x) – yn(x) (x) - ynx) 0.25 2.0 0.493156301 -5.71E-6 -9.49E-7 4.0 -1.410449823 3.71E-6 1.62E-6 6.0 0.680752304 2.48E-6 -3.97E-7 8.0 0.843864007 -5.79E-6 -1.29E-6 10.0 -1.383094975 2.34E-6 1.47E-6 0.125 2.0 0.493150889 -2.99E-7 -2.35E-8 4.0 -1.410446334 2.17E-7 4.94E-8 6.0 0.680754675 1.14E-7 -1.76E-8 8.0 0.843858525 -3.12E-7 -3.47E-8 10.0 -1.383092786 1.46E-7 4.65E-8
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Ranga Kate uth order pansa Kutte h Founthorsen Felf bera 2 Yhcns 0.4931 2 Shlon 0.25 2.0 0.493156301 4.0 -1.4104 -1.410 44982

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