Show that between every successive pair of zeros of  there exists a zero of .

To show that between every successive pair of zeros of \( J_0(x) \) there exists a zero of \( J_1(x) \), let's use some properties of Bessel functions.

The Bessel function of the first kind \( J_n(x) \) is defined as the solution to the Bessel's differential equation:

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