Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Calculate the exact solution. dy = 4xy+6y, y(0)=3, dx=0.1 dx Y₁ = 4.8 (Type an integer or decimal rounded to four decimal places as needed.) Y2= (Type an integer or decimal rounded to four decimal places as needed.)

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 11E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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I need to find Y2= and Y3=
Use Euler's method to calculate the first three approximations to the given initial value problem for the specified
increment size. Calculate the exact solution.
dy
= 4xy+6y, y(0)=3, dx=0.1
dx
Y₁ = 4.8
(Type an integer or decimal rounded to four decimal places as needed.)
Y2=
(Type an integer or decimal rounded to four decimal places as needed.)
Transcribed Image Text:Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Calculate the exact solution. dy = 4xy+6y, y(0)=3, dx=0.1 dx Y₁ = 4.8 (Type an integer or decimal rounded to four decimal places as needed.) Y2= (Type an integer or decimal rounded to four decimal places as needed.)
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