Compute the approximation of y(7), the solution in t = 7 of the following ordinary differential equation dy dt with y(2) = 1 + (t - y)² = 1 using the Trapezoid method with h = 0.5 Use 16 significant figures in your calculations and give your answer with at least 6 significant figures

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Answer: 6.8299.

Compute the approximation of y(7), the solution in t = 7 of the following ordinary
differential equation
dy
dt
= 1 + (t − y)²
with y(2) = 1 using the Trapezoid method with h
=
0.5
Use 16 significant figures in your calculations and give your answer with at least 6
significant figures
Answer:
Transcribed Image Text:Compute the approximation of y(7), the solution in t = 7 of the following ordinary differential equation dy dt = 1 + (t − y)² with y(2) = 1 using the Trapezoid method with h = 0.5 Use 16 significant figures in your calculations and give your answer with at least 6 significant figures Answer:
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