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 y≈ 1+5x 17x² 2 'X 2 Use this to approximate y(x) at x = .2 Round your answer to 2 decimal places. ·x² +

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Consider the differential equation y'' — 2xy' + y = 0 subject to y(0) = 1 and y'(0)
=
The first few terms of the power series solution are
1
1
2
y≈ 1 + 5x
Use this to approximate y(x) at x = .2
Round your answer to 2 decimal places.
23
5.
Transcribed Image Text:Consider the differential equation y'' — 2xy' + y = 0 subject to y(0) = 1 and y'(0) = The first few terms of the power series solution are 1 1 2 y≈ 1 + 5x Use this to approximate y(x) at x = .2 Round your answer to 2 decimal places. 23 5.
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