Consider the following differential equation and initial value. У'3 2х — Зу + 1, у(1) 3D 8; У(1.2) Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6 Yn + 1 = Yn + hf(xn, Yn). (3) First, use increment h = 0.1 У(1) 8 У(1.2) 4.45 Then, use increment h = 0.05. (Round your answers to four decimal places.) У(1) У(1.1) У(1.2) 4.6811

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following differential equation and initial value.
У'%3D 2х — Зу + 1, y(1) 3D 8; у(1.2)
Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6
Уn + 1 3D Уn + hf(xn, Уп)
(3)
First, use increment h = 0.1
У(1)
8
У(1.2)
4.45
Then, use increment h = 0.05. (Round your answers to four decimal places.)
У(1)
8
y(1.1)
У(1.2)
4.6811
Transcribed Image Text:Consider the following differential equation and initial value. У'%3D 2х — Зу + 1, y(1) 3D 8; у(1.2) Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6 Уn + 1 3D Уn + hf(xn, Уп) (3) First, use increment h = 0.1 У(1) 8 У(1.2) 4.45 Then, use increment h = 0.05. (Round your answers to four decimal places.) У(1) 8 y(1.1) У(1.2) 4.6811
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