agrams.e questions below:Not Yet5. Euler's Method and Error. Consider the initial value problemy = x(1-y)y(0) = 2.(a)We can use separation of variables to find an exact solution y(x)=2/2+11 Usethis to compute y(x) for x = 1.y(1)=?(Use Euler's method with 2 steps to approximate the solution to the initial valueproblem for x== 1.y = 1(1-4)Y'=1(14)e-v²rze-ize76.5५९४५ =C7:2Compare the exact value of the solution to the approximate value using Euler'smethod, and compute the error.1-4101:22-26=CdxS(Hp)=dt1414-(-110491 (1-848your as 1-y=d+ Iny-In(1-4)=tic1534te(1+2)(=2(=213Y = (213121+(213)2€Yer-v=ce² (electYence 1) = cet4-2(1)(21 = y+cil5etING CARD

Answered: Image /qna-images/answer/788709fc-c689-48e3-830b-8fe25ba91aad.jpg

5. Euler's Method and Error. Consider the initial value problem y = x(1-y) y(0) = 2. (a) We can use separation of variables to find an exact solution y(r)e/2+1 Use this to compute y(x) for x = 1. y(1)= ? Use Euler's method with 2 steps to approximate the solution to the initial value problem for r=1. Y = 1(1-4) Y'=1(14) V=24 e-v²12 e-1212 8+112 Y 6.5 7=2 4(x) = c Compare the exact value of the solution to the approximate value using Euler's method, and compute the error.

5. Euler's Method and Error. Consider the initial value problem y = x(1-y) y(0) = 2. (a) We can use separation of variables to find an exact solution y(r)e/2+1 Use this to compute y(x) for x = 1. y(1)= ? Use Euler's method with 2 steps to approximate the solution to the initial value problem for r=1. Y = 1(1-4) Y'=1(14) V=24 e-v²12 e-1212 8+112 Y 6.5 7=2 4(x) = c Compare the exact value of the solution to the approximate value using Euler's method, and compute the error.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 47CR

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