If y=y(x)is solution | Differential Equation | JEE MAIN 2024

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JEE-Main 2024

27-01-24 S2

Question

If $y=y(x)$ is the solution curve of the differential equation $\left(x^2-4\right) d y-\left(y^2-3 y\right) d x=0, x>2, y(4)=\frac{3}{2}$ and the slope of the curve is never zero, then the value of $y(10)$ equals :

Select the correct option:

A

$\frac{3}{1+(8)^{1 / 4}}$

B

$\frac{3}{1+2 \sqrt{2}}$

C

$\frac{3}{1-2 \sqrt{2}}$

D

$\frac{3}{1-(8)^{1 / 4}}$

✓ Correct! Well done.

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