5) Y(x) satisfies the differential equation Y" -2xY' -2Y = 0. If Y(0)=1 and Y'(0) = 0: A) Find the first five terms of the power series solution, Y(x). ( Carry out your calculation so that your highest power of the polynomial is x4.) B) Use your polynomial solution in part A to estimate Y(.1).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5) Y(x) satisfies the differential equation
Y" -2xY' -2Y = 0. If Y(0) =1 and Y'(0) = 0:
A) Find the first five terms of the power series solution, Y(x). (Carry out your
calculation so that your highest power of the polynomial is x4.)
B) Use your polynomial solution in part A to estimate Y(.1).
Transcribed Image Text:5) Y(x) satisfies the differential equation Y" -2xY' -2Y = 0. If Y(0) =1 and Y'(0) = 0: A) Find the first five terms of the power series solution, Y(x). (Carry out your calculation so that your highest power of the polynomial is x4.) B) Use your polynomial solution in part A to estimate Y(.1).
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