Title: The first order partial differential equations resolved with any derivatives,
Abstract: In this paper we discuss the first order partial differential equations
resolved with any derivatives. At first, we transform the first order partial
differential equation resolved with respect to a time derivative into a system
of linear equations. Secondly, we convert it into a system of the first order
linear partial differential equations with constant coefficients and nonlinear
algebraic equations. Thirdly, we solve them by the Fourier transform and
convert them into the equivalent integral equations. At last, we extend to
discuss the first order partial differential equations resolved with respect to
time derivatives and the general scenario resolved with any derivatives.