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Consider the differential equation y''−2xy'+y=0y′′-2xy′+y=0 subject to y(0)=1y(0)=1 and y'(0)=5y′(0)=5. The first few terms of the power series solution are y≈1+5x−12x2+16x3y≈1+5x-12x2+16x3 Use this to approximate y(x)y(x) at x=.2x=.2 Round your answer to 2 decimal places.

Consider the differential equation y''−2xy'+y=0y′′-2xy′+y=0 subject to y(0)=1y(0)=1 and y'(0)=5y′(0)=5. The first few terms of the power series solution are y≈1+5x−12x2+16x3y≈1+5x-12x2+16x3 Use this to approximate y(x)y(x) at x=.2x=.2 Round your answer to 2 decimal places.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Consider the differential equation y''−2xy'+y=0y′′-2xy′+y=0 subject to y(0)=1y(0)=1 and y'(0)=5y′(0)=5.

The first few terms of the power series solution are

y≈1+5x−12x2+16x3y≈1+5x-12x2+16x3

Use this to approximate y(x)y(x) at x=.2x=.2

Round your answer to 2 decimal places.

  
Consider the differential equation y'’ – 2xy' + y = 0 subject to y(0) = 1 and y' (0) = 5. The first few terms of the power series solution are 1 -x2 + 2 1 y x 1 + 5x 6 Use this to approximate y(x) at x = .2 Round your answer to 2 decimal places.
Transcribed Image Text:Consider the differential equation y'’ – 2xy' + y = 0 subject to y(0) = 1 and y' (0) = 5. The first few terms of the power series solution are 1 -x2 + 2 1 y x 1 + 5x 6 Use this to approximate y(x) at x = .2 Round your answer to 2 decimal places.
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