I'm having trouble rewriting differential equations in the form F(v). That is, changing a function to make it's variables have the form "y/x" so I can perform the substitution v=y/x. Here's a sample problem:
Solve the differential equation:
yy'= sqrt(x^2+y^2)-x
Is there a general way to go about transforming this into the form f(v)?
Any help would be much appreciated.
Thank!
That works, but it leads to an integral that can only be solved in terms of other integrals. Do you know how they got this?
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