Consider y' + 2xy = e* Now leverage the equation Σ e* = п! n=0 to approximate y(x) to a third-degree polynomial P(x). In other words, if x" y(x) = ) n! n=0 .2 .3 then find a, , a1 ,a2 , a3, such that y(x) - ao , a,x,a2x² , a3x³ 8.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider y' + 2xy = e*
Now leverage the equation
Σ
e* =
п!
n=0
to approximate y(x) to a third-degree polynomial P(x).
In other words, if
x"
y(x) = )
n!
n=0
.2
.3
then find a, , a1 ,a2 , a3, such that y(x) - ao , a,x,a2x² , a3x³
8.
Transcribed Image Text:Consider y' + 2xy = e* Now leverage the equation Σ e* = п! n=0 to approximate y(x) to a third-degree polynomial P(x). In other words, if x" y(x) = ) n! n=0 .2 .3 then find a, , a1 ,a2 , a3, such that y(x) - ao , a,x,a2x² , a3x³ 8.
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