Use the Continuation method and the Runge-Kutta method of order 4 with A' = 1 on the
Chapter 10, Problem 4(choose chapter or problem)
Use the Continuation method and the Runge-Kutta method of order 4 with A' = 1 on the following nonlinear systems using x(0) = 0. Are the answers here comparable to Newton's method, or are they suitable initial approximations for Newton's method? a. xi(l X|) + 4x2 = 12, b. 5xf x| = 0, (xi 2)2 + (2x2 3)2 = 25. X2 0.25(sinxi + cos X2) = 0. Compare to 10.2(5c). Compare to 10.2(5d). c. 15xi + X2 4x3 =13, d. IOxj 2x| + X2 2x3 5 = 0, x 2 + 10x2 X3 = 11. 8x| -)- 4x| 9 = 0. xl 25x3 = 22 8x2X3 + 4 = 0 Compare to 10.2(6c). Compare to l().2(6d).
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