Question

how Time Remaining art 2 of 6. Question 2 of 6 Approximate y(2) using the Modified Euler method for the following initial value problem. y' = y2 t+1' 1st <2, y(1) = - h = 0.5 In2' OA 0.91055 OB-0.93256 OC 0.88234 OD-0.90845 Reset Selection Previous Next Save Gateway Mobile view The Sakai Project 2011 Tum hakları saktidir. Istanbul Kultur Universitesi CATS.CATS Sakal 10.5 (Kemet 10.5). Server Skap kedu

Answer 1

Find yess using modlificel Euler's method y (1) en en2 dy Its2 de t+! h=0.5 sul? Here fit, y) = y² tt! fltniyal and het yon + hal te thella) + f[moy ] where you r = 0,1,2,3, Inth fltn, yn) dnu n=011,2;'- Here yos = yo + nfl to, 4) Here to = 1, Yo = - en 2 y,10) + Off (lietus) ) en 2 + loss in 2 1+1 to's 2 (Una)? In 2 y,lo) 1! - t us 0.89 2. 1069)2

Floir -1.449 +0.525 - loih -0.9.24 y! - yot + han [ H1 to 198 + flty, you] o's Laumetz €0.9242 -1.449+ of (1.05 + o gura) ( = - t 0.5 ena 1.St1 15 y (1) -1.449 + +0.3479 y (1) -111017 y (1.55) = -1.01 Now 10) 8 y, + nfl +1,42) Here ti=15, 9,=-100l .10012 cho --1-one+ O'T . 1-5+1 z -1.0t +0. 29.4 9,10) = -0.788+ ya 39, + b{ flt18) + F(tz, yum!!) t₂ = 2,410) = -0.7880

82 - -1014 on [F115,-1-01) + H2, -6.806 E1012 (-0.7886) ? + : -1.01 +0.5 2 1:5+1 2t A 206980 -1.0i to os (0408 +0.24 ly" -0 1.88244 Answer.