|Mar3-12, 09:13 AM||#1|
Homogeneous now seperable ODE
[Ok so I have transformed a
1st order homogenous ODE into a seperable ODE. However I am having trouble seperating to get y on it's own.
Here's the problem:
du/dx=(2u^2)/x where u = y/x
du/(2u^2)=dx/x <<can't get tex to work
-1/(4u^2)=ln(x)+C=ln(Ax) <<can't get tex to work
Is this algebra correct? Is this the right solution? I'm not sure about bringing the y^2 over to the left is ok.
|Mar3-12, 10:19 AM||#2|
I realise now, I messed up the integration.
The general solution is:
|algebra, homogeneous, ode, seperable|
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