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dy 25 da 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 = 1.1 y(1.1) 6.0490098 Y ; Let f(x, y) = x5/y. We let x = 0.1 and yo = 6 and pick a step size h = 0.2. Euler's method is the the following algorithm. From n and yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing y(0.1) = 6. n+1 = n + h, Complete the following table. Your answers should be accurate to at least seven decimal places. n In Yn 0 0.1 6 1 0.3 2 0.5 3 0.7 4 0.9 5 1.1 Yn+1 Yn+h. f(xn, yn).

dy 25 da 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 = 1.1 y(1.1) 6.0490098 Y ; Let f(x, y) = x5/y. We let x = 0.1 and yo = 6 and pick a step size h = 0.2. Euler's method is the the following algorithm. From n and yn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing y(0.1) = 6. n+1 = n + h, Complete the following table. Your answers should be accurate to at least seven decimal places. n In Yn 0 0.1 6 1 0.3 2 0.5 3 0.7 4 0.9 5 1.1 Yn+1 Yn+h. f(xn, yn).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 1CR
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Suppose that we use Euler's method to approximate the solution to the differential equation dy 25 dx Y 2 0.5 3 0.7 4 0.9 5 1.1 Let f(x, y) = x5/y. We let x = 0.1 and yo = 6 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 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 = 1.1 y(1.1) 6.0490098 1 *n+1 = xn+h, Complete the following table. Your answers should be accurate to at least seven decimal places. n In Yn 0 0.1 6 1 0.3 = y(0.1) = 6. Yn+1 = yn + h. f(xn, Yn).
Transcribed Image Text:Suppose that we use Euler's method to approximate the solution to the differential equation dy 25 dx Y 2 0.5 3 0.7 4 0.9 5 1.1 Let f(x, y) = x5/y. We let x = 0.1 and yo = 6 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 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 = 1.1 y(1.1) 6.0490098 1 *n+1 = xn+h, Complete the following table. Your answers should be accurate to at least seven decimal places. n In Yn 0 0.1 6 1 0.3 = y(0.1) = 6. Yn+1 = yn + h. f(xn, Yn).
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