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Use a numerical solver and Eulers method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 an

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y = x²+y2 where y (o)=2 h=o.us ., h= o.1 fol case o using heal y=f(x,y)= ulty where y(o)=2> Yo=2 whole noco Y,= yot brocoy6 с. 3) = 4 (.. 2.891) - 0.2 + (- 91 з 28-3°2523 do Sz=. Izt hof (x2) 9, - 2-9+++ | Х 8-9a2 25 с 3- 86 92329 = (••3) Sy= 83+Яo.s)= 8, 2+35 Jo h=o. case ② hao.os (я» 1-) - (+3)= 4. -4 flay- «1+y2 08i = 8 (о.о ) = 4 + + Q (4,3%) (Jake (сте 1.) = (2) =(0.15)= 2442125+ 0.05 X 5.97397452 y (0.15)= 2.74082373 ¥4= 93+ f(43.99)h where zo 0.15 93= 2.7408237] P[az. 93)= (6.15) + (f(asys) = 6.25)? + (3.60 5511764 13.0622151 Yo = y(0.3) = 3.60551196+ 1.30622151 X10 X0-05 Y(0-3) = 6 = 4,25862252 6 97=Y6+ b9 Yg= 48 + 6(18, 18), where (8=0.4 Y8= 6.51244 228 6( 48, 98)= (6.4)2+(6.51244228) ここ 42-5719045 49 = y(0.45) = 6-51244228+ 4

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