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4. Apply Euler's method with 4 steps to approximate y(3) for the solution of the inital value problem: 2x - y x+y Present all calculations and display the resulting values in a table. n 0 1 2 3 تت 4 Xn Yn dy dr - Step h = y(1) = 0 slope Pn

4. Apply Euler's method with 4 steps to approximate y(3) for the solution of the inital value problem: 2x - y x+y Present all calculations and display the resulting values in a table. n 0 1 2 3 تت 4 Xn Yn dy dr - Step h = y(1) = 0 slope Pn

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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approximate y(3) for the solution of the inital value 2x - y x + y Present all calculations and display the resulting values in a table. 4. Apply Euler's method with 4 steps to problem: n 0 1 ان 2 3 تن 4 Xn Yn dy dr Step h = y(1) = 0 slope Pn
Transcribed Image Text:approximate y(3) for the solution of the inital value 2x - y x + y Present all calculations and display the resulting values in a table. 4. Apply Euler's method with 4 steps to problem: n 0 1 ان 2 3 تن 4 Xn Yn dy dr Step h = y(1) = 0 slope Pn
Expert Solution
Step 1

Here, 

       dy/dx = f(x, y) = (2x - y)/(x + y) 

Here, stepsize, h = (3 - 1)/4 = 2/4 = 0.5

By Euler's method:  

         yn+1 = yn + hf(xn, yn) 

                 = yn + 0.5(2xn - yn)/(xn + yn) 

 

 

       

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