In this paper, we consider the Cauchy problem of a degenerate parabolic equation not in divergence form with weighted source in Rn, and the weighted source is positive and continuous in Rn. By extending the classical result of Fujita, we find the second critical exponent for the existence of global and nonglobal solutions with n ≥ 1, including the results of Yang, Zheng, and Zhou, which give the second critical exponent with n ≥ 2.