Q7 of 118 Page 395

For each of the differential equations in question, find the general solution:

y log y dx – x dy = 0

y log y dx – x dy = 0


⇒ (y log y) dx = xdy


Separating variables,



Integrating both sides,



⇒ let logy = t




⇒ log x + log c = log t


Or,


⇒ log x + log c = log (log y)


⇒ log cx = log y


Or,


⇒ log y = cx



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