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The system of ordinary differential equations given by x'1 = ax1 + bx2 , x'2 = bx1 + cx2 has the same character equation as the second order edo given by: a) x'' - (a +2b +c)x' + (ac - b2)x = 0 b) x'' - (a +c )x' + (b2 -4ac) x = 0 c) x'' - (a+c) x' + (ac -b2)x = 0 d) ax'' + bx' + cx = 0

The system of ordinary differential equations given by x'1 = ax1 + bx2 , x'2 = bx1 + cx2 has the same character equation as the second order edo given by: a) x'' - (a +2b +c)x' + (ac - b2)x = 0 b) x'' - (a +c )x' + (b2 -4ac) x = 0 c) x'' - (a+c) x' + (ac -b2)x = 0 d) ax'' + bx' + cx = 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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The system of ordinary differential equations given by x'1 = ax1 + bx2 , x'2 = bx1 + cx2

has the same character equation as the second order edo given by:

a) x'' - (a +2b +c)x' + (ac - b2)x = 0

b) x'' - (a +c )x' + (b2 -4ac) x = 0

c) x'' - (a+c) x' + (ac -b2)x = 0

d) ax'' + bx' + cx = 0

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