Question

21. Fluid Ejection. In the design of a sewage treatment plant, the following equation arises: 60 H (77.7)H (19.42)(H') H(0) H'(0) 0 where H is the level of the fluid in an ejection chamber and t is the time in seconds. Use the vectorized Runge-Kutta algorithm with h 0.5 to approximate H(t) over the interval [0, 5]

Answer 1

Giun thát dlh ctt clt 2 clt2 ㅋ크구 cl → let h'(0-0, (0)-0 clt 目 g- so-h.nurt.-L6tha) , rar alt 77·구 on. A-1, 1-1

0+0x1=0 . 60- 0-19.42X 0 0+ -for i f@ui-Q : ha= 1676 o3: h- 3.8386 -fai-+: h5" 5.5559 1.6709 . 4 코ちょ1.7030 gt, h5 h5)-5-556 I. 609 1017 3.311223 5-0317-1.7081 .14016864 . 3 4-

5) 6.7407 hco) hr h5) 5. 55(+%-5956 . Usin liruar on 04 (05) (5956-5-556). 6-740- 5.556 P0.16885 6885 h,- I. l0J18 .5887 굿,-1.+859 I 2. t-6921. 2808 . 라두 t-7154 h5.9163. 5 6910 )=5.996 5.956 . L0,5 千 3