Use Euler's method with step size h=0.1 to approximate the solution to the initial value problem y' = 5x-y², y(8)= 0, at the points x = 8.1, 8.2, 8.3, 8.4, and 8.5. The approximate solution to y' = 5x - y², y(8)= 0, at the point x = 8.1 is (Round to five decimal places as needed.) The approximate solution to y' = 5x -y², y(8)= 0, at the point x = 8.2 is [ (Round to five decimal places as needed.) The approximate solution to y' = 5x-y², y(8)=0, at the point x = 8.3 is (Round to five decimal places as needed.) The approximate solution to y'= 5x - y²₁ y(8)= 0, at the point x =8.4 is [ (Round to five decimal places as needed.) The approximate solution to y' = 5x - y², y(8) = 0, at the point x = 8.5 is (Round to five decimal places as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use Euler's method with step size h = 0.1 to approximate the solution to the initial value problem y' = 5x-y², y(8)= 0, at the points x = 8.1, 8.2, 8.3, 8.4, and 8.5.
2
The approximate solution to y' = 5x -y, y(8)= 0, at the point x = 8.1 is
(Round to five decimal places as needed.)
The approximate solution to y' = 5x - y², y(8) = 0, at the point x = 8.2 is
(Round to five decimal places as needed.)
The approximate solution to y' = 5x - y², y(8)= 0, at the point x = 8.3 is |
(Round to five decimal places as needed.)
2
The approximate solution to y' = 5x -y², y(8) = 0, at the point x = 8.4 is
(Round to five decimal places as needed.)
The approximate solution to y' = 5x-y², y(8)= 0, at the point x = 8.5 is
(Round to five decimal places as needed.)
Transcribed Image Text:Use Euler's method with step size h = 0.1 to approximate the solution to the initial value problem y' = 5x-y², y(8)= 0, at the points x = 8.1, 8.2, 8.3, 8.4, and 8.5. 2 The approximate solution to y' = 5x -y, y(8)= 0, at the point x = 8.1 is (Round to five decimal places as needed.) The approximate solution to y' = 5x - y², y(8) = 0, at the point x = 8.2 is (Round to five decimal places as needed.) The approximate solution to y' = 5x - y², y(8)= 0, at the point x = 8.3 is | (Round to five decimal places as needed.) 2 The approximate solution to y' = 5x -y², y(8) = 0, at the point x = 8.4 is (Round to five decimal places as needed.) The approximate solution to y' = 5x-y², y(8)= 0, at the point x = 8.5 is (Round to five decimal places as needed.)
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