Total energy of oscillator is 1/2 m v^{2} + 1/2 m w^{2}x^{2} = E = constant.

Differentiating both sides with respect to t, we get

The above expression is differential equation representing SHM.

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Total energy of oscillator is 1/2 m v^{2} + 1/2 m w^{2}x^{2} = E = constant.

Differentiating both sides with respect to t, we get

The above expression is differential equation representing SHM.