3. A nonlinear oscillator of mass 1 has dimensionless potential energy (3x? – x*)/2. Fora dimensionless amplitude equal to 1, energy conservation yields21dx3x* - x*) = 1— 2- Зx? + х*.dtFor positive velocity, take the positive square root of the second equation, separate thevariables, and integrate from x = 0 to 1 and from t = 0 to t = T/4, where T is the period.Express the x-integration as a coefficient multiplied by a complete elliptic integral of theJacobi form, and state the value of the elliptic modulus. From an online calculator ortable, determine and state the value of the elliptic integral. Finally, determine the periodT as a decimal approximation (specifically, no square roots).

The complete elliptic integral of the first kind K(k) is defined as…

Answered: 3. A nonlinear oscillator of mass 1 has…

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