The second-order linear DE mx + bx + kx = 0 models vibrations of a mass m
Question:
For the nonlinear variations in Problems 17-20, use your intuition to decide whether the zero solution (x = z = 0) is stable or unstable. Check your intuition by transforming to a first-order system and linearizing.
x + x3 + x = 0
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x x 3 x 0 Writing the equations as a system yields x y y x y 3 that has the single equilibr...View the full answer
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Related Book For 
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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