The text of the task is the following : For what values of $x_0$, $y_0$ does the differential equation $xy'=(x-y)^{1/2}$ have a unique solution $y=y(x)$ such that $y(x_0)=y_0$? Have no idea how to solve that diffur. Even wolfram doesnt give an answer , maybe here is something that i do not see.
Differential equation problem.
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ordinary-differential-equations
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0Try putting $x-y=z$. Anyway, you are probably supposed to apply a general theorem. – 2017-01-29
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0What is general theorem? – 2017-01-29
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0A general theorem about existence and uniqueness – 2017-01-30