Which of the following is a non-homogeneous equation?
Posted: Thu Jul 14, 2022 9:41 am
a) \(\frac{∂^2 u}{∂t^2}-c^2\frac{∂^2 u}{∂x^2}=0\)
b) \(\frac{∂^2 u}{∂x^2}+\frac{∂^2 u}{∂y^2}=0\)
c) \(\frac{∂^2 u}{∂x^2}+(\frac{∂^2 u}{∂x∂y})^2+\frac{∂^2 u}{∂y^2}=x^2+y^2\)
d) \(\frac{∂u}{∂t}-T \frac{∂^2 u}{∂x^2}=0\)
b) \(\frac{∂^2 u}{∂x^2}+\frac{∂^2 u}{∂y^2}=0\)
c) \(\frac{∂^2 u}{∂x^2}+(\frac{∂^2 u}{∂x∂y})^2+\frac{∂^2 u}{∂y^2}=x^2+y^2\)
d) \(\frac{∂u}{∂t}-T \frac{∂^2 u}{∂x^2}=0\)