Which of these is a quasi-linear partial differential equation?

Question

TuteeHUB · Accepted Answer

$(\frac{\partial ^2 u}{\partial x^2})^2+\frac{\partial^2 u}{\partial y^2}=0$

TuteeHUB · Answer

$\frac{\partial^2 u}{\partial x^2}+\frac{\partial^2 u}{\partial y^2}=0$

TuteeHUB · Answer

$\frac{\partial^2 u}{\partial x^2}+a(x,y)\frac{\partial^2 u}{\partial y^2}=0$

TuteeHUB · Answer

$\frac{\partial u}{\partial x}\frac{\partial ^2 u}{\partial x^2}+\frac{\partial u}{\partial y}\frac{\partial^2 u}{\partial y^2}=0$

TuteeHUB · Answer

$(\frac{\partial ^2 u}{\partial x^2})^2+\frac{\partial^2 u}{\partial y^2}=0$

1.	Which of these is a quasi-linear partial differential equation?
A.	\(\frac{\partial^2 u}{\partial x^2}+\frac{\partial^2 u}{\partial y^2}=0\)
B.	\(\frac{\partial^2 u}{\partial x^2}+a(x,y)\frac{\partial^2 u}{\partial y^2}=0\)
C.	\(\frac{\partial u}{\partial x}\frac{\partial ^2 u}{\partial x^2}+\frac{\partial u}{\partial y}\frac{\partial^2 u}{\partial y^2}=0\)
D.	\((\frac{\partial ^2 u}{\partial x^2})^2+\frac{\partial^2 u}{\partial y^2}=0\)
Answer» D. \((\frac{\partial ^2 u}{\partial x^2})^2+\frac{\partial^2 u}{\partial y^2}=0\)

Discussion