Given the differential equation (D + 9D² + 27D + 27) y = ln(2x - 3). Propose %3D an appropriate particular solution. Take A, B and C to be functions of x Yp = Ae-3z + Be 3z + Ce-3x + Ba²e 3* + Ca³e=3« 3x -3.x Yp Axe -3x Ae3 O Yp Breš + Cx²e³2 O yp Ae 3 + Bxe 3z + Cx²e¬3a
Given the differential equation (D + 9D² + 27D + 27) y = ln(2x - 3). Propose %3D an appropriate particular solution. Take A, B and C to be functions of x Yp = Ae-3z + Be 3z + Ce-3x + Ba²e 3* + Ca³e=3« 3x -3.x Yp Axe -3x Ae3 O Yp Breš + Cx²e³2 O yp Ae 3 + Bxe 3z + Cx²e¬3a
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 16CR
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hi pls answer thank u!32
![Given the differential equation (D + 9D² + 27D + 27) y = ln(2x 3). Propose
an appropriate particular solution. Take A, B and C to be functions of x
O y, = Ae-3 + Be-3# + Ce-3æ
-3x
Axe
+ Bx²e-3x
+ Cx³e=3:
Yp
-3x
Yp = Ae + Bre + Cx²e*
Yp = Ae 3z
+Bxe
+ Cx²e¬3z
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Transcribed Image Text:Given the differential equation (D + 9D² + 27D + 27) y = ln(2x 3). Propose
an appropriate particular solution. Take A, B and C to be functions of x
O y, = Ae-3 + Be-3# + Ce-3æ
-3x
Axe
+ Bx²e-3x
+ Cx³e=3:
Yp
-3x
Yp = Ae + Bre + Cx²e*
Yp = Ae 3z
+Bxe
+ Cx²e¬3z
< Previous
Next »
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