Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = x2y − 1 2 y2, y(0) = 3. (Round your answer to four decimal places.)

Therefore the value of y(1)= 0.9152.

Step-by-step explanation:

According to the Euler's method

y(x+h)≈ y(x) + hy'(x) ....(1)

Given that y(0) =3 and step size (h) = 0.2.

Putting the value of y'(x) in equation (1)

Substituting x =0 and h= 0.2

   [∵ y(0) =3 ]

Substituting x =0.2 and h= 0.2

Substituting x =0.4 and h= 0.2

Substituting x =0.6 and h= 0.2

Substituting x =0.8 and h= 0.2

Therefore the value of y(1)= 0.9152.

answer4 to the second power is 16

and 4 to the third power is 64,

it is definatly the 3rd one. very much looks like it, for a good chance, the third one would be best for you.

8(4)^8=72^feet to say that the total can conclude to 8(4) which as you know would mean 8 x 4. that equals 32w. 32^ could make a 72 answer as well. but your coefficent will remain w so your answer is 72w.

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