Consider the equation y" + ay' + by=f(x) where a and b are real constants. If the general solution of the differential equation is of the form y(x) = C1eª + C2xe² + æ³ %3| then f(x) is equal to: a) 6x + 6x² + x³ b) 6x – 6x2 – x3 c) 6x + 6x² – a d) 6x – 6x2 + x³

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the equation y" + ay' + by=f(x) where a and b are real constants. If the general
solution of the differential equation is of the form
y(x) = C1eª + C2xe" + x°
then f(x) is equal to:
a) 6x + 6x² + x³
b) 6x —
6x2 – 23
-
c) 6x + 6x² – 23
-
3
d) 6x – 6x? + x
-
Transcribed Image Text:Consider the equation y" + ay' + by=f(x) where a and b are real constants. If the general solution of the differential equation is of the form y(x) = C1eª + C2xe" + x° then f(x) is equal to: a) 6x + 6x² + x³ b) 6x — 6x2 – 23 - c) 6x + 6x² – 23 - 3 d) 6x – 6x? + x -
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