Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 7 of Exercise 9.4

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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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