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Consider the differential equation d = 2(2 - y²). Let y = f(x) be the particular solution to the differential equation with f(6) = -2. What is the approximation for the value of f (5.6) obtained using the degree 3 Taylor Polynomial centered about x = 6? Round to the nearest thousandth.

Consider the differential equation d = 2(2 - y²). Let y = f(x) be the particular solution to the differential equation with f(6) = -2. What is the approximation for the value of f (5.6) obtained using the degree 3 Taylor Polynomial centered about x = 6? Round to the nearest thousandth.

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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Consider the differential equation dy/dx=2(2-y^2). Let y= f(x) be the particular solution to the differential equation with f(6)= -2. What is the approximation for the value of f(5.6) obtained using the 3rd degree Taylor polynomial centered about x=6? Round to the nearest thousandth. I struggle when it comes to dy/dx in reference to integrals and knowing how to integrate them and isolate the variables
dx Consider the differential equation d = 2(2 - y²). Let y = f(x) be the particular 2. What is the approximation for solution to the differential equation with f(6) the value of f(5.6) obtained using the degree 3 Taylor Polynomial centered about X = 6? Round to the nearest thousandth.
Transcribed Image Text:dx Consider the differential equation d = 2(2 - y²). Let y = f(x) be the particular 2. What is the approximation for solution to the differential equation with f(6) the value of f(5.6) obtained using the degree 3 Taylor Polynomial centered about X = 6? Round to the nearest thousandth.
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