simo8430 simo8430
  • 02-02-2018
  • Mathematics
contestada

By inspection find a one-parameter family of solutions of the differential equation xy'=y. verify

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evgeniylevi
evgeniylevi evgeniylevi
  • 02-02-2018
Try this:
[tex] \frac{y'}{y} =x; \ =\ \textgreater \ \ \frac{dy}{y}= \frac{dx}{x}; \ =\ \textgreater \ \ lny=lnx+C; \ =\ \textgreater \ \ y=Cx[/tex]
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