Find the first four nonzero terms in a power series expansion about x = 0 for a general solution to the given differential equation (Type an expression in terms of ao that includes all terms up to order 3) y' + (x+4y=0 O A. y(x) = a -3ax +48x²-3x³ +... O B. OC. OE. 5 26 +72ª0x²90x³ + y(x) = a0-4anx + y(x) = a -5ax+12ax²- 55 390x³ +... OD. y(x) = a0-4agx+40ax² - 117agx³+... 4 y(x) = a0-780x+ 2480x² 161 3 -80x³+. SCOO
Find the first four nonzero terms in a power series expansion about x = 0 for a general solution to the given differential equation (Type an expression in terms of ao that includes all terms up to order 3) y' + (x+4y=0 O A. y(x) = a -3ax +48x²-3x³ +... O B. OC. OE. 5 26 +72ª0x²90x³ + y(x) = a0-4anx + y(x) = a -5ax+12ax²- 55 390x³ +... OD. y(x) = a0-4agx+40ax² - 117agx³+... 4 y(x) = a0-780x+ 2480x² 161 3 -80x³+. SCOO
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:Find the first four nonzero terms in a power series expansion about x = 0 for a general solution to the given differential equation
(Type an expression in terms of ao that includes all terms up to order 3)
y' + (x+4y=0
OA. y(x)=ag -3ax +48x²-3x³ +...
О в.
OC.
OE.
y(x) = a0-4anx +
5
26
+72ª0x²90x³+..
y(x) = a -5a0x+12ax²-
y(x) = a0-780x+
4
OD. y(x) = 80 -4ax +40ax² - 117agx³+....
2480x²
55
30x³ +...
161
3
-80x³+.
SECCIONS
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