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7. (a) Use Euler's method to obtain y(0.6) to 4 decimal places for the DE y' = xy + √y with the initial condition y(0) = 3. Use h=0.2. Show HOW the Euler's formula used to fill in the table below. Step 0 1 2 3 Xn 0 0.2 0.4 0.6 Yn 3 (b) Use the nspire calculator to find y(0.6) with an h of 0.05. Does your answer match with the true solution y(0.6)? Comment.

7. (a) Use Euler's method to obtain y(0.6) to 4 decimal places for the DE y' = xy + √y with the initial condition y(0) = 3. Use h=0.2. Show HOW the Euler's formula used to fill in the table below. Step 0 1 2 3 Xn 0 0.2 0.4 0.6 Yn 3 (b) Use the nspire calculator to find y(0.6) with an h of 0.05. Does your answer match with the true solution y(0.6)? Comment.

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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7. (a) Use Euler's method to obtain y(0.6) to 4 decimal places for the DE y' = xy + √√y with the initial condition y(0) = 3. Use h=0.2. Show HOW the Euler's formula used to fill in the table below. Step 0 1 2 3 Xn 0 0.2 0.4 0.6 Yn 3 (b) Use the nspire calculator to find y(0.6) with an h of 0.05. Does your answer match with the true solution y(0.6)? Comment.
Transcribed Image Text:7. (a) Use Euler's method to obtain y(0.6) to 4 decimal places for the DE y' = xy + √√y with the initial condition y(0) = 3. Use h=0.2. Show HOW the Euler's formula used to fill in the table below. Step 0 1 2 3 Xn 0 0.2 0.4 0.6 Yn 3 (b) Use the nspire calculator to find y(0.6) with an h of 0.05. Does your answer match with the true solution y(0.6)? Comment.
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