Given differential equation y"" - sy" -4y' + 8y = ²³x +8x²
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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Transcribed Image Text:Given differential equation
-3x
yay" -4y' + 8y = e +8x²
(D³ - 3D² 4D +8)y=e +8x
Auxilary equation
m²³-2m² 4m +8=0
(m-2) (m+2)
2
m= २, २,
Complementary function.
-3x
2x
२x
-91
C.F. = C₁e²³x + xe³* + Ge
Let particulas integral of D.E.
in undetermined Coeff. form
-3x
Yp = AC + Bx³ + x² + DX + E
HOW DID HE GET THE HYPOTHESIS
INSIDE THE CIRCLE, CAN
YOUEXPLAIN STEP BY STEP?
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