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Suppose that we use Euler's method to approximate the solution to the differential equation dy 24 da y Complete the following table: Let f(x, y) = x/y. We let zo = 0 and yo = 4 and pick a step size h = 0.2. Euler's method is the the following algorithm. From an and yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing n 0 1 2 3 4 In 0 9. 9. Yn 4 = 5 The exact solution can also be found using separation of variables. It is y(x) = Thus the actual value of the function at the point x = 1 y(1) = n+1 = n + h, y(0) = 4. Yn+1 Yn+hf(xn, yn).

Suppose that we use Euler's method to approximate the solution to the differential equation dy 24 da y Complete the following table: Let f(x, y) = x/y. We let zo = 0 and yo = 4 and pick a step size h = 0.2. Euler's method is the the following algorithm. From an and yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing n 0 1 2 3 4 In 0 9. 9. Yn 4 = 5 The exact solution can also be found using separation of variables. It is y(x) = Thus the actual value of the function at the point x = 1 y(1) = n+1 = n + h, y(0) = 4. Yn+1 Yn+hf(xn, yn).

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. Suppose that we use Euler's method to approximate the solution to the differential equation dy dx Practice similar Help me with this Complete the following table: n 0 1 Let f(x, y) = x/y. = We let xo = 0 and yo = 4 and pick a step size h 0.2. Euler's method is the the following algorithm. From än and yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing Xn 0 = ▶ JI Yn 4 ▶ 5 The exact solution can also be found using separation of variables. It is y(x): Xn+1 = xn+h, Thus the actual value of the function at the point î 1 = y(1) = x4 Y ; y(0) = 4. Yn+1 = < Previous Yn+h. f(xn, Yn).
Transcribed Image Text:7. Suppose that we use Euler's method to approximate the solution to the differential equation dy dx Practice similar Help me with this Complete the following table: n 0 1 Let f(x, y) = x/y. = We let xo = 0 and yo = 4 and pick a step size h 0.2. Euler's method is the the following algorithm. From än and yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing Xn 0 = ▶ JI Yn 4 ▶ 5 The exact solution can also be found using separation of variables. It is y(x): Xn+1 = xn+h, Thus the actual value of the function at the point î 1 = y(1) = x4 Y ; y(0) = 4. Yn+1 = < Previous Yn+h. f(xn, Yn).
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