The method of variation of parameters can be used to find a particular solution Yp of the differential equation et y" – 2 y +y = 1- x which has the form yp = v1 (x) u1 (x) + v2 (x) u1 (x). = 3. Find v1 (x) + v2 (x) when x = 3 e e3 In 2 3 – 2 In 2 3 3+ 2 In 2 O 3 e In 2

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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The method of variation of parameters can be used to find a particular
solution
Yp
of the differential equation
et
y" – 2 y + y =
1
|
which has the form y, = v1 (x) u1 (x) + v2 (x) u1 (x).
Find vi (x) + v2 (x) when a = 3.
3 e3
e3 In 2
3 – 2 In 2
-e3
3
3+ 2 In 2
O 3 e In 2
Transcribed Image Text:The method of variation of parameters can be used to find a particular solution Yp of the differential equation et y" – 2 y + y = 1 | which has the form y, = v1 (x) u1 (x) + v2 (x) u1 (x). Find vi (x) + v2 (x) when a = 3. 3 e3 e3 In 2 3 – 2 In 2 -e3 3 3+ 2 In 2 O 3 e In 2
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ISBN:
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