Determine the appropriate form of solution for the differential equation y"-5y'-14y= 2xe 2x +3sinx+7.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 14CR
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(a)
Determine the appropriate form of solution for the differential equation
y"-5y'-14y= 2xe 2x +3sinx+7.
y=(Ax+B)e-2x +Csinx+Dcosx+E.
y=(Ax² + Bx) e 2x +Csinx+ Dcosx+E.
y = (Ax²) Be2x +Csin x + Dcosx + E.
y = (Ax² + Bx)e 2x + Csinx+D.
(b)
(c)
Ű
(d)
c
Transcribed Image Text:(a) Determine the appropriate form of solution for the differential equation y"-5y'-14y= 2xe 2x +3sinx+7. y=(Ax+B)e-2x +Csinx+Dcosx+E. y=(Ax² + Bx) e 2x +Csinx+ Dcosx+E. y = (Ax²) Be2x +Csin x + Dcosx + E. y = (Ax² + Bx)e 2x + Csinx+D. (b) (c) Ű (d) c
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,