Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places. y' = y?(1 - 2x), y(-1) = -1, dx = 0.5 O Y1 = 0.7, y2 = 0.99, y3 = 1.2656 O Y1 = 0.5, y2 = 0.75, y3 = 1.03125 O Y1 = 0.4, y2 = 0.63, y3 = 0.7472 O v1 = 0.7, y2 = 0.99, y3 = 1.9136

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 12E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
icon
Related questions
Question
Use Euler's method to calculate the first three approximations to the
given initial value problem for the specified increment size. Round your
results to four decimal places.
y' = y?(1 - 2x), y(-1) = -1, dx = 0.5
O Y1 = 0.7, y2 = 0.99, y3 = 1.2656
O Y1 = 0.5, y2 = 0.75, y3 = 1.03125
O Y1 = 0.4, y2 = 0.63, y3 = 0.7472
O v1 = 0.7, y2 = 0.99, y3 = 1.9136
Transcribed Image Text:Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places. y' = y?(1 - 2x), y(-1) = -1, dx = 0.5 O Y1 = 0.7, y2 = 0.99, y3 = 1.2656 O Y1 = 0.5, y2 = 0.75, y3 = 1.03125 O Y1 = 0.4, y2 = 0.63, y3 = 0.7472 O v1 = 0.7, y2 = 0.99, y3 = 1.9136
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage