Help Please

Thank you :)

http://img515.imageshack.us/img515/3228/a1q55gp.jpg

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- Apr 21st 2006, 08:56 PMaskmemathChange of variable
Help Please

Thank you :)

http://img515.imageshack.us/img515/3228/a1q55gp.jpg - Apr 22nd 2006, 06:00 AMtopsquark
There's probably a more elegant way, but this does work:

This is essentially a Bernoulli equation, so if we go ahead and let we obtain a linear equation:

So

Now, depends only on x, so the integrating factor will be:

So is an exact differential equation.

Thus

or

Thus

-Dan - Apr 22nd 2006, 07:50 AMRebesques
Note that the right hand side of

is homogeneous in x and y, and change variables to z=y/x.