! Consider the nonhomogeneous differential equation: y" - 2y + y ==... (E). Using variation of parameters, the general solution of (E) is: y=q₁x² + This Option 1 y = ₁x² + c₂² X This Option None of these 1 3x ||| 1 3x Inx x Inx x y=ce* +C,xe* – xe^ + xe Inx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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%A1₁.
Consider the nonhomogeneous differential equation:
y" - 2y + y ==... (E). Using variation of parameters, the general
solution of (E) is:
y=q₁x² +₁₂²=²+=+=+=
This Option
y = C₁x² + C₂
This Option
None of these
1
|||
3x
Inx
x 3x
X
1 Inx
y=ce* +Czxe * – xe* + xe Inx
- ٦:٣٢
>
Transcribed Image Text:! %A1₁. Consider the nonhomogeneous differential equation: y" - 2y + y ==... (E). Using variation of parameters, the general solution of (E) is: y=q₁x² +₁₂²=²+=+=+= This Option y = C₁x² + C₂ This Option None of these 1 ||| 3x Inx x 3x X 1 Inx y=ce* +Czxe * – xe* + xe Inx - ٦:٣٢ >
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