The two ordinary DE's can be re-arranged into a form where the relevance of Integrating factor - Wikipedia, the free encyclopedia should be obvious.
Do you need to worry about whether c is positive, negative or zero ......?
Find the general solution of:
x.du/dx - (1/2).y.du/dy=0
I know that for it to be separable u(x,y)=X(x)Y(y)
so:
x.Y(y)dX/dx + (1/2).X(x)dY/dy = 0
which cancels to:
x/X(x).(dX/dx) = - y/2Y(y).dY/dy
so:
X(x) = -c. Y(y) c is some constant
so:
x/X(x).dX/dx = c
y/2Y(y).dY/dy=c
from here i am stuck. Any help appreciated
Thanks
The two ordinary DE's can be re-arranged into a form where the relevance of Integrating factor - Wikipedia, the free encyclopedia should be obvious.
Do you need to worry about whether c is positive, negative or zero ......?