Consider the differential equation dy Y dx (a) Use Euler's method with step size Ax (1+x)2 0.25 to estimate the function value y(0.5) where y = y(x) is the solution of the differential equation = 1. Round your answer to four decimal places. 2 satisfying y(0) = dy y (b) Solve the differential equation that satisfies the initial dx (1 + x)² condition y(0) 2 (c) Compare the value y(0.5) from the solution in part (b) with the answer in part (a). What is the absolute error?

Consider the differential equation dy Y dx (a) Use Euler's method with step size Ax (1+x)2 0.25 to estimate the function value y(0.5) where y = y(x) is the solution of the differential equation = 1. Round your answer to four decimal places. 2 satisfying y(0) = dy y (b) Solve the differential equation that satisfies the initial dx (1 + x)² condition y(0) 2 (c) Compare the value y(0.5) from the solution in part (b) with the answer in part (a). What is the absolute error?

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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