Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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This problem is about the constant coefficient linear inhomogeneous equation p(d/dx)y = f(x) where p(r) = (r + 1)(r− 2)². In the table
below, at left are various right sides f(x), and across from that at right is a form of a particular solution yp. For each line determine the
constants from a, b, c such that y, is a solution, or state that the given form is not a solution for any such values.
A f = x²,
Yp = ax²
B f = x²,
Ур
= ax² + bx,
c f = x²,
f = x²+3x+1,
Yp = ax² + bx + c
D
Yp = ax² + bx + c,
E f = e¹,
4x
Yp = ae
F
f = e³,
Yp = ae
Gf=e³,
H_f = e²,
| f = e²,
J f = e²
Ур = axe
2x
ae²z
Yp = ae
Yp = axe²
Ур
=
az²e²x
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Transcribed Image Text:This problem is about the constant coefficient linear inhomogeneous equation p(d/dx)y = f(x) where p(r) = (r + 1)(r− 2)². In the table below, at left are various right sides f(x), and across from that at right is a form of a particular solution yp. For each line determine the constants from a, b, c such that y, is a solution, or state that the given form is not a solution for any such values. A f = x², Yp = ax² B f = x², Ур = ax² + bx, c f = x², f = x²+3x+1, Yp = ax² + bx + c D Yp = ax² + bx + c, E f = e¹, 4x Yp = ae F f = e³, Yp = ae Gf=e³, H_f = e², | f = e², J f = e² Ур = axe 2x ae²z Yp = ae Yp = axe² Ур = az²e²x
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