The solution of the differential equation \frac{d y}{d x}- {y+3 x}/{\log _{e}(y+3 x)}+3=0 is :- (where \mathrm{C} is a constant of integration.) [4 Sep 2020 Shift 2]

Correct Answer is : x− 12(loge(y+3x))2=C

x- \frac{1}{2} (\log _{e}(y+3 x) )^{2}=C

y+3 x- \frac{1}{2} (\log _{e} x )^{2}=C

JEE Mains 04-Sep-2020 Shift 2 Solved Paper

Section: Mathematics

Question : 54 of 75

Marks: +1, -0

The solution of the differential equation

−

y+3x

loge(y+3x)

+3=0 is :-
(where mathrm‌C is a constant of integration.)

[4 Sep 2020 Shift 2]

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