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Given differential equation y""-ay" -4y' + 8y = e²-³x +8x2 (D³ - 20² 4D +8)y=e +8x9 Auxilary equation m²³ - 2m²² 4m +8=0 (m-a) (m+2) 2 m= 2,2, C.F. = Cie Complementary function. 2x = 0 -3x Y₁ = AC వి २x -3x +6x²³x + 3 Let particular integral of D.E. in Undetermined -2x form + Bx³ + x² + x + E HOW DID HE GET THE HYPOTHESIS INSIDE THE CIRCLE, CAN YOU EXPLAIN STEP BY STEP?

Given differential equation y""-ay" -4y' + 8y = e²-³x +8x2 (D³ - 20² 4D +8)y=e +8x9 Auxilary equation m²³ - 2m²² 4m +8=0 (m-a) (m+2) 2 m= 2,2, C.F. = Cie Complementary function. 2x = 0 -3x Y₁ = AC వి २x -3x +6x²³x + 3 Let particular integral of D.E. in Undetermined -2x form + Bx³ + x² + x + E HOW DID HE GET THE HYPOTHESIS INSIDE THE CIRCLE, CAN YOU EXPLAIN STEP BY STEP?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 2x = 0 -3x Y₁ = AC २x -3x +2²³ +63 Let particular integral of D.E. in Undetermined -2x form + Bx³ + x² + x + E HOW DID HE GET THE HYPOTHESIS INSIDE THE CIRCLE, CAN YOU EXPLAIN STEP BY STEP?
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 2x = 0 -3x Y₁ = AC २x -3x +2²³ +63 Let particular integral of D.E. in Undetermined -2x form + Bx³ + x² + x + E HOW DID HE GET THE HYPOTHESIS INSIDE THE CIRCLE, CAN YOU EXPLAIN STEP BY STEP?
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