Use Euler's method with step size 0.3 to estimate y(0.6), where y(x) is the solution of the initial-value problem y'= 5x + y², y(0) = -1. y(0.3) = y(0.6)= Given the initial value problem: y'= 4√t+y, y(0) = 4 Use Euler's method with step size h = 0.05 to estimate: Round to 4 decimal places as needed. y(0.05) = = y(0.1) -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

please help me with both parts, thank you so much.

only HANDWRITTEN answer needed ( NOT TYPED)

Use Euler's method with step size 0.3 to estimate y(0.6), where y(x) is the solution of the initial-value
problem
y'= 5x + y², y(0) = -1.
y(0.3)
y(0.6)
=
Given the initial value problem:
y'= 4√t+y, y(0) = 4
Use Euler's method with step size h = 0.05 to estimate: Round to 4 decimal places as needed.
y(0.05) =
y(0.1) =
Transcribed Image Text:Use Euler's method with step size 0.3 to estimate y(0.6), where y(x) is the solution of the initial-value problem y'= 5x + y², y(0) = -1. y(0.3) y(0.6) = Given the initial value problem: y'= 4√t+y, y(0) = 4 Use Euler's method with step size h = 0.05 to estimate: Round to 4 decimal places as needed. y(0.05) = y(0.1) =
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,