Find the general solution of the equation: (y^2-2xy)dx + (2xy-x^2)dy = 0

The ODE is exact, since

so there is solution such that

Integrating both sides of the first PDE wrt gives

Differentiating both sides wrt gives

Then the solution to the ODE is

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Alternatively, we can see that the ODE is homogeneous, since replacing and reduces to the same ODE:

This tells us we can solve by substituting , so that , and the ODE becomes

which is separable as

Integrating both sides gives

and solving in terms of ,

the answer is thin because within context, the stanza concludes the and frail tone the people have toward each other, and the fact that it would be thin, makes the most sense compared to "pliable" or "not hard or firm to the touch". hope this , good luck.

step-by-step explanation:

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try looking in the very back of the book : )

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