A partial differential equation containing dependent variable $u$ is given by$ \text { A } \frac{\partial^{2} u}{\partial x^{2}}+2 B \frac{\partial^{2} u}{\partial x \partial y}+C \frac{\partial^{2} u}{\partial y^{2}}+D \frac{\partial u}{\partial x}+E \frac{\partial u}{\partial y}+F u+G=0$ where $A, B, C, D, E, F$ and $G$ are constants or functions of independent variables $X$ or $y$ only. Also $\mathrm{G} \neq 0$. The nature of the equation is
(A) Linear and homogeneous
(B) Non-linear and homogeneous
(C) Linear and non-homogeneous
(D) Non-linear and non-homogeneous
A partial differential equation containing dependent variable $u$ is given by$ \text { A } \frac{\partial^{2} u}{\partial x^{2}}+2 B \frac{\partial^{2} u}{\partial x \partial y}+C \frac{\partial^{2} u}{\partial y^{2}}+D \frac{\partial u}{\partial x}+E \frac{\partial u}{\partial y}+F u+G=0$ where $A, B, C, D, E, F$ and $G$ are constants or functions of independent variables $X$ or $y$ only. Also $\mathrm{G} \neq 0$. The nature of the equation is
(A) Linear and homogeneous
(B) Non-linear and homogeneous
(C) Linear and non-homogeneous
(D) Non-linear and non-homogeneous