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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