Obtain the general solution. (D4 + 4D³ +2D²-8D-8)y=0 O y=e²x(C₁+C₂x) + C3е√²x + С₁е-√²x Oy=e-²x(C₁x + C₂) + ₂√²x + ₂x√²x Oy=e-²x(C₁+C₂x) + С3е√²x + С₁е-√²x Oy=e-2x(C₁+C₂x) + С3е-√²x + С₁xе-√²x 2x
Obtain the general solution. (D4 + 4D³ +2D²-8D-8)y=0 O y=e²x(C₁+C₂x) + C3е√²x + С₁е-√²x Oy=e-²x(C₁x + C₂) + ₂√²x + ₂x√²x Oy=e-²x(C₁+C₂x) + С3е√²x + С₁е-√²x Oy=e-2x(C₁+C₂x) + С3е-√²x + С₁xе-√²x 2x
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:Obtain the general solution.
(D4+4D³+2D²-8D-8)y=0
y=e²x(C₁+C₂x) + C3е√²x + С₁е-√²x
y=e-2x(C₁x + C₂) + С3√²x + С₁xe√²x
Oy=e-2x(C₁+C₂x) + ₂√²x + С₁е-√²x
2x
y=e-2x(C₁+C₂x)
+ C₂e-√²x+C₂xe-√₂x
O
O
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