Determine the general/particular solution (whichever applies): y''+ 4y'+ 4y = (3+x)e-2x, when x = 0, y = 2, y'=5 O 3 * +(²+²+ + ²) + -2x y=2e -2x - xe y=2e-2x3xe -2x y = 2e + 9xe -2x - ² + ( x ³ + 3 x ³) = ² -2x y=2e²x + 4xe 2x + + -212x₁² xe - + x³ + x²) ²2 2x 4
Determine the general/particular solution (whichever applies): y''+ 4y'+ 4y = (3+x)e-2x, when x = 0, y = 2, y'=5 O 3 * +(²+²+ + ²) + -2x y=2e -2x - xe y=2e-2x3xe -2x y = 2e + 9xe -2x - ² + ( x ³ + 3 x ³) = ² -2x y=2e²x + 4xe 2x + + -212x₁² xe - + x³ + x²) ²2 2x 4
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 28RE
Related questions
Question
![Determine the general/particular solution (whichever applies):
-2r
y"'+ 4y' + 4y =(3+x) e −2x, when x = 0, y = 2, y'=5
y = 2e
-2r
- xe
y=2e
3
1
-2x
3
-2r
-~- - ( ² - - -) -
+
e
2
Oy-2²-²-22²-²-(3-¹²¹-1-²-²-2²
3xe
+ +
+
xe
O
y=-26-²³² +9₁-²-- (²-x ² - ² √²) - ²
-2x
1
3
9xe
-2x
x
e
2x
y=2² +4²¹(x²-x²) ²
2x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83e27a04-44a9-4bea-8432-1a61e27dc246%2F53d72050-bcf9-4558-8167-501bdc4a4947%2Fjueea_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the general/particular solution (whichever applies):
-2r
y"'+ 4y' + 4y =(3+x) e −2x, when x = 0, y = 2, y'=5
y = 2e
-2r
- xe
y=2e
3
1
-2x
3
-2r
-~- - ( ² - - -) -
+
e
2
Oy-2²-²-22²-²-(3-¹²¹-1-²-²-2²
3xe
+ +
+
xe
O
y=-26-²³² +9₁-²-- (²-x ² - ² √²) - ²
-2x
1
3
9xe
-2x
x
e
2x
y=2² +4²¹(x²-x²) ²
2x
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