If y=y(x) is the solution of the differential equation \frac{d y}{d x}+\frac{4 x}{ (x^2-1) } y= {x+2}/{ (x^2-1) ^{\frac{5}{2}}}, x > 1 such that {\y}(2)=\frac{2}{9} \log _{ {\e}}(2+\sqrt{3}) and {\y}(\sqrt{2})=\alpha \log _{ {\e}}(\sqrt{\alpha}+\beta)+\beta-\sqrt{\gamma}, \alpha, \beta, \gamma, \in {\N}, then \alpha \beta \gamma is equal to _______ [13-Apr-2023 shift 2]

JEE Mains 13-Apr-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 23 of 90

Marks: +1, -0

If y=y(x) is the solution of the differential equation ‌

+‌

(x2−1)

y=‌

x+2

(x2−1)‌

,x>1 such that y(2)=‌

loge(2+√3) and y(√2)=αloge(√α+β)+β−√γ,α,β,γ,∈N, then αβγ is equal to _______

[13-Apr-2023 shift 2]

Go to Question:

Prev Question

Next Question