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Consider the differential equation dy -0.6(y - 3), with y(0) = 2. dt In all parts below, round to 4 decimal places. Part 1 Use n = 4 steps of Euler's Method with h = 0.5 to approximate y(2). y (2)≈ Part 2 Use n = 8 steps of Euler's Method with h = 0.25 to approximate y(2). y (2)≈ Part 3 Find y(t) using separation of variables and evaluate the exact value. y (2) =

Consider the differential equation dy -0.6(y - 3), with y(0) = 2. dt In all parts below, round to 4 decimal places. Part 1 Use n = 4 steps of Euler's Method with h = 0.5 to approximate y(2). y (2)≈ Part 2 Use n = 8 steps of Euler's Method with h = 0.25 to approximate y(2). y (2)≈ Part 3 Find y(t) using separation of variables and evaluate the exact value. y (2) =

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 -0.6(y - 3), with y(0) = 2. dt In all parts below, round to 4 decimal places. Part 1 Use n = 4 steps of Euler's Method with h = 0.5 to approximate y(2). y (2) ≈ Part 2 Use n = 8 steps of Euler's Method with h = 0.25 to approximate y(2). y (2)~ Part 3 Find y(t) using separation of variables and evaluate the exact value. y (2)= C N • →
Transcribed Image Text:Consider the differential equation dy -0.6(y - 3), with y(0) = 2. dt In all parts below, round to 4 decimal places. Part 1 Use n = 4 steps of Euler's Method with h = 0.5 to approximate y(2). y (2) ≈ Part 2 Use n = 8 steps of Euler's Method with h = 0.25 to approximate y(2). y (2)~ Part 3 Find y(t) using separation of variables and evaluate the exact value. y (2)= C N • →
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