QUESTION 1 y' – 4x*y = 0, y(0) = 5. Note: y = y(x) and y' dy dx With respect to the above IVP, find the 11th order power series approximation of y(1.1). Do the calculation to at least the nearest thousandth (3 decimal places). In the answer box put the approximation of y(1.1). Note. To approximate y(x) as a 11th order power series, you have to find the power series solution for y(x) up to the X 10 term. Do not calculate the entire power series!
QUESTION 1 y' – 4x*y = 0, y(0) = 5. Note: y = y(x) and y' dy dx With respect to the above IVP, find the 11th order power series approximation of y(1.1). Do the calculation to at least the nearest thousandth (3 decimal places). In the answer box put the approximation of y(1.1). Note. To approximate y(x) as a 11th order power series, you have to find the power series solution for y(x) up to the X 10 term. Do not calculate the entire power series!
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:QUESTION 1
y' – 4x*y = 0, y(0) :
= 5. Note: y = y(x) and y'
dy
dx
With respect to the above IVP, find the 11th order power series approximation of y(1.1).
Do the calculation to at least the nearest thousandth (3 decimal places).
In the answer box put the approximation of y(1.1).
Note. To approximate y(x) as a 11th order power series, you have to find the power series solution for
y(x) up to the X
10
term. Do not calculate the entire power series!
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