Working in radians, find an estimate of the solution of the differential equation dy = 2y cot (x) + e sin²(x) da at the point x = 2 given that the curve passes through the point (1, 1) using: (a) the Euler method with 8 steps.
Working in radians, find an estimate of the solution of the differential equation dy = 2y cot (x) + e sin²(x) da at the point x = 2 given that the curve passes through the point (1, 1) using: (a) the Euler method with 8 steps.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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Transcribed Image Text:Working in radians, find an estimate of the solution of the differential equation
dy
dx
at the point x = 2 given that the curve passes through the point (1, 1) using:
(a) the Euler method with 8 steps.
Answer
=
2y cot (x) + e sin2²(x)
(a) y(1.125) = 1.40112
y(1.250) = 1.88195
y(1.375) = 2.43120
y(1.500) = 3.02472
y(1.625) = 3.63850
y(1.750) = 4.22209
y(1.875) =
y (2.000) = 5.09829
= 4.72735
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