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