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d²x dt² dx +vf(x). + g(x)= 0, v ≥ 0, dt where f(x) and g(x) are well behaved functions and a constant, describes certain important dynamical systems. rx If F(x) = [" du f(u), by defining z = representation of Liénard's equation is dx dt 1 dx v dt = v(z – F(x)), + F(x), show that an alternative dz dt g(x) V

d²x dt² dx +vf(x). + g(x)= 0, v ≥ 0, dt where f(x) and g(x) are well behaved functions and a constant, describes certain important dynamical systems. rx If F(x) = [" du f(u), by defining z = representation of Liénard's equation is dx dt 1 dx v dt = v(z – F(x)), + F(x), show that an alternative dz dt g(x) V

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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d²x dt² dx +vf(x). + g(x) = 0, v ≥ 0, dt where f(x) and g(x) are well behaved functions and a constant, describes certain important dynamical systems. rx If F(x) = [" du f(u), by defining z = representation of Liénard's equation is dx dt 1 dx v dt = v (z – F(x)), + F(x), show that an alternative dz dt g(x) V
Transcribed Image Text:d²x dt² dx +vf(x). + g(x) = 0, v ≥ 0, dt where f(x) and g(x) are well behaved functions and a constant, describes certain important dynamical systems. rx If F(x) = [" du f(u), by defining z = representation of Liénard's equation is dx dt 1 dx v dt = v (z – F(x)), + F(x), show that an alternative dz dt g(x) V
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