JEE Main 2021 (17 Mar, Shift 2) Maths Q67: If the curve is…

Question

If the curve $y=y(x)$ is the solution of the differential equation
$2(x^2+x^{5/4})dy-y(x+x^{1/4})dx=2x^{9/4}dx$, $x>0$ which passes through the point
$\left(1, 1-\frac{4}{3}\log_e 2\right)$, then the value of $y(16)$ is equal to :

Accepted Answer

Option 1: $4\left(\frac{31}{3}-\frac{8}{3}\log_e 3\right)$

Answer

$4\left(\frac{31}{3}-\frac{8}{3}\log_e 3\right)$

Answer

$\left(\frac{31}{3}-\frac{8}{3}\log_e 3\right)$

Answer

$\left(\frac{31}{3}+\frac{8}{3}\log_e 3\right)$

Answer

$4\left(\frac{31}{3}+\frac{8}{3}\log_e 3\right)$

JEE Main 17 March 2021, Shift 2, Maths Q67

Same idea in other shifts