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JEE-MAIN 2021
17-03-2021 S2
Question
In the curve y = y (x) is the solution of the differential equation $2\left(x^2+x^{5 / 4}\right) d y-y\left(x+x^{1 / 4}\right) d x=2 x^{9 / 4}, x>0$ which passes through the point $\left(1,1-\frac{4}{3} \log _e 2\right)$ then the value of y (16) is equal to :
Select the correct option:
A
$4\left(\frac{31}{3}+\frac{8}{3} \log _e 3\right)$
B
$\left(\frac{31}{3}+\frac{8}{3} \log _e 3\right)$
C
$4\left(\frac{31}{3}-\frac{8}{3} \log _e 3\right)$
D
$\left(\frac{31}{3}-\frac{8}{3} \log _e 3\right)$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Mathematics
Hard
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