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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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agrams. e questions below: Not Yet 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(x)=2/2+11 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 x= = 1. y = 1(1-4) Y'=1(14) e-v²rz e-ize 7 6.5 ५९४५ =C 7:2 Compare the exact value of the solution to the approximate value using Euler's method, and compute the error. 1-4101:2 2-26=C dx S(Hp)=dt 1414-(-1104 91 (1-848 your as 1-y =d+ Iny-In(1-4)=tic 1534 te (1+2)(=2 (=213 Y = (21312 1+(213) 2 € Yer-v=ce² (elect Yence 1) = cet 4-2 (1) (21 = y+cil 5 et ING CARD
Transcribed Image Text:agrams. e questions below: Not Yet 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(x)=2/2+11 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 x= = 1. y = 1(1-4) Y'=1(14) e-v²rz e-ize 7 6.5 ५९४५ =C 7:2 Compare the exact value of the solution to the approximate value using Euler's method, and compute the error. 1-4101:2 2-26=C dx S(Hp)=dt 1414-(-1104 91 (1-848 your as 1-y =d+ Iny-In(1-4)=tic 1534 te (1+2)(=2 (=213 Y = (21312 1+(213) 2 € Yer-v=ce² (elect Yence 1) = cet 4-2 (1) (21 = y+cil 5 et ING CARD
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