(a) Find values of k1 < 0 for which the system in is

Chapter 5, Problem 12E

(choose chapter or problem)

(a) Find values of \(k_{1}<0\) for which the system in Problem 11 is oscillatory.

(b) Consider the initial-value problem

\(x^{\prime \prime}+x+k_{1} x^{3}=\cos \frac{3}{2} t, \quad x(0)=0, \quad x^{\prime}(0)=0\)

Find values of \(k_{1}<0\) for which the system is oscillatory

Text Transcription:

k_1<0

x^prime\prime+x+k_1x^3=cos\frac32t,x(0)=0,x^prime(0)=0

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