$w_{xxxx}+4w_{xy}=2 \tan x $
Is the pde quasi-linear, semi-linear or fully non-linear ?
Asked
Active
Viewed 197 times
1 Answers
0
Your equation is linear. Indeed if $w_1$ and $w_2$ are solutions of the homogenous equation $$w_{xxxx} + w_{xy} = 0$$ then $w_1 + w_2$ is also solution.
Héhéhé
- 1,183
-
Can you generalize it for other questions pls ? Specially, I don't understand the questions including terms $w_{xy}$ – HD239 Mar 24 '17 at 12:35
-
What questions ? – Héhéhé Mar 24 '17 at 12:37
-
$$w_{xxx} + 2w_{xy}+w_{yy} = sinx$$. how to show that it is linear, semi linear , quasi linear or non linear ? Could you explain pls ? – HD239 Mar 24 '17 at 12:41
-
Your equation is linear. Go check http://math.stackexchange.com/a/389382/427673 – Héhéhé Mar 24 '17 at 12:43
-
I checked. But there is no terms $u_{xy} $ in the definition ? – HD239 Mar 24 '17 at 13:00