Question

Given the initial value problem: y'=6√(t+y),  y(0)=1 Use Euler's method with step size h = 0.1 to...

Given the initial value problem:

y'=6√(t+y),  y(0)=1

Use Euler's method with step size h = 0.1 to estimate:

y(0.1) =

y(0.2) =

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Answer #1

<= P+z09 = n of=1977 LE T=raoh 726 039 T.0=4' Yn = yn - gth f(tausta.) at n=1 Yo + 0.1 f or you! 4,= y(xoth) = y(0.1) - = 1 + 0.176 yil.6 Iz = y, th flti, ye) Ya = 106 + 0.1x610.1716 = 1.66 + 0.1X6 JI. I = 1:43 = y Co.l) = 106 y (02) = 1073

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