Partial Differential Equations

Consider the following differential equation $\frac{\partial y}{\partial x} = 3\frac{\partial y}{\partial t} + y$ If $y(x, 0) = 10e^{-2x}$, then the solution of the differential equation is

Consider the following partial differential equation for u(x, y) with the constant c > 1: \frac{\partial u}{\partial y} + c \frac{\partial u}{\partial x} = 0 Solution of this equation is