Given differential equation y""-ay" -4y' + 8y = e²-³x +8x⁹ (D³ - 20² - Auxilary equation 2 4D +8)y=e +8x9 m²³ - 2m²² 4m +8=0 (m-a) (m+2) m= 2,2, C.F. = Cie Complementary function. 2x = 0 -3x Y₁ = AC వి -3x २x +6x²³x + 3 Let particular integral of D.E. in undetermined Coeff. form -2x 3 + Bx³ + x² + x + E
Given differential equation y""-ay" -4y' + 8y = e²-³x +8x⁹ (D³ - 20² - Auxilary equation 2 4D +8)y=e +8x9 m²³ - 2m²² 4m +8=0 (m-a) (m+2) m= 2,2, C.F. = Cie Complementary function. 2x = 0 -3x Y₁ = AC వి -3x २x +6x²³x + 3 Let particular integral of D.E. in undetermined Coeff. form -2x 3 + Bx³ + x² + x + E
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Given differential equation
y""-ay" -4y' + 8y = e-³x +8x2
(D³ - 20²
4D +8)y=e +8x9
Auxilary equation
m²³ - 2m²² 4m +8=0
(m-a) (m+2)
2
m= 2,2,
Complementary function.
C.F. = Cie
= 0
2x
२x
-3x
+2²³ +63
-2x
Let particular integral of D.E.
in undetermined Coeff. form
-3x
Yp = AC + Bx³ + x² + x + E
HOW DID HE GET THE HYPOTHESIS
INSIDE THE CIRCLE, CAN YOU EXPLAIN
STEP BY STEP?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f56df18-93e6-49ab-9961-177f7375bd49%2F3335be95-bddb-4ab4-bcc8-66e78e82c90c%2Fbauwu5r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given differential equation
y""-ay" -4y' + 8y = e-³x +8x2
(D³ - 20²
4D +8)y=e +8x9
Auxilary equation
m²³ - 2m²² 4m +8=0
(m-a) (m+2)
2
m= 2,2,
Complementary function.
C.F. = Cie
= 0
2x
२x
-3x
+2²³ +63
-2x
Let particular integral of D.E.
in undetermined Coeff. form
-3x
Yp = AC + Bx³ + x² + x + E
HOW DID HE GET THE HYPOTHESIS
INSIDE THE CIRCLE, CAN YOU EXPLAIN
STEP BY STEP?
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