Example 1: (a) Obtain a numerical solution, using Euler's method, of the differential equation: = y – x, dx with the initial conditions that at x 0, y = 2,for the range x = 0 (0.1) 0. 5. Draw the graph of the solution. (b) By an analytical method, the solution of the above differential equation is given by y x + 1 + e. Determine the percentage error at x = 0.3. %3D
Example 1: (a) Obtain a numerical solution, using Euler's method, of the differential equation: = y – x, dx with the initial conditions that at x 0, y = 2,for the range x = 0 (0.1) 0. 5. Draw the graph of the solution. (b) By an analytical method, the solution of the above differential equation is given by y x + 1 + e. Determine the percentage error at x = 0.3. %3D
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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Transcribed Image Text:Ехample 1:
(a) Obtain a numerical solution, using Euler's method, of the differential
equation:
dy
= y –
-3D у — х,
0, y = 2,for the range
dx
with the initial conditions that at x =
x = 0 (0. 1) 0. 5. Draw the graph of the solution.
(b) By an analytical method, the solution of the above differential
equation is given by y = x + 1 + e". Determine the percentage error at
x = 0.3.
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