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0. Compute the exact values of the roots of the auxiliary equation, and construct the solution of the differential equations in the table below: Equation Solution 8y"(x)+ 6y'(x)+ y(x) = 0 9y"(1) +9y'(1) + 2y(1) = 0 x"(1)+ 3x'(t) + 2x(t) = 0 y"(x) +2y'(x)+ y(x) = 0

0. Compute the exact values of the roots of the auxiliary equation, and construct the solution of the differential equations in the table below: Equation Solution 8y"(x)+ 6y'(x)+ y(x) = 0 9y"(1) +9y'(1) + 2y(1) = 0 x"(1)+ 3x'(t) + 2x(t) = 0 y"(x) +2y'(x)+ y(x) = 0

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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0. Compute the exact values of the roots of the auxiliary equation, and construct the solution of the differential equations in the table below: Equation Solution 8y"(х)+ бу (х)+ у(х) - 0 9y"(1) + 9y'(1) + 2y(1) = 0 x"(1) +3x'(t) + 2x(t) = 0 y"(x) + 2y'(x)+ y(x) = 0 4y"(1)+ 4y'(1) + y(1) = 0 16х"(1) + 8х'(1) + x() 3 0 y"(x)+9y(x) = 0 4y"(t) + y(1) = 0 x"(t) +2x(t) = 0 4y"(x) + 4y'(x)+ 5y(x) = 0 4y"(t)+4y'(t) +17y(t) = 0 9x"(1)+ 36x'(t) + 37x(1) = 0
Transcribed Image Text:0. Compute the exact values of the roots of the auxiliary equation, and construct the solution of the differential equations in the table below: Equation Solution 8y"(х)+ бу (х)+ у(х) - 0 9y"(1) + 9y'(1) + 2y(1) = 0 x"(1) +3x'(t) + 2x(t) = 0 y"(x) + 2y'(x)+ y(x) = 0 4y"(1)+ 4y'(1) + y(1) = 0 16х"(1) + 8х'(1) + x() 3 0 y"(x)+9y(x) = 0 4y"(t) + y(1) = 0 x"(t) +2x(t) = 0 4y"(x) + 4y'(x)+ 5y(x) = 0 4y"(t)+4y'(t) +17y(t) = 0 9x"(1)+ 36x'(t) + 37x(1) = 0
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