Agricultural Engineering > GATE 2014 > Differential Equations
A partial differential equation containing dependent variable u is given by A ∂²u/∂x² + 2B ∂²u/∂x∂y + C ∂²u/∂y² + D ∂u/∂x + E ∂u/∂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 G ≠ 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

Correct : c

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