y(t) is the solution of the differential equation When t = 0, y = 1. dy dt : 0.5/(t + y)². Use the midpoint method with a time step of h = Please correct your answers to three decimal places. = 0.16, calculate y(h) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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y(t) is the solution of the differential equation
When t = 0, y = 1.
dy
dt
= 0.5/(t+ y)².
Use the midpoint method with a time step of h = 0.16, calculate y(h) =
Please correct your answers to three decimal places.
Transcribed Image Text:y(t) is the solution of the differential equation When t = 0, y = 1. dy dt = 0.5/(t+ y)². Use the midpoint method with a time step of h = 0.16, calculate y(h) = Please correct your answers to three decimal places.
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