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

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 12CR

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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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

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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