If y=y(x) is the solution curve of the differential equation (x^2-4) d y- (y^2-3 y) \dx=0, x>2, y(4) =\frac{3}{2} and the slope of the curve is never zero, then the value of y(10) equals : [27-Jan-2024 Shift 2]

Correct Answer is : 31+(8)1∕4

JEE Main 27-Jan-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 17 of 90

Marks: +1, -0

If y=y(x) is the solution curve of the differential equation (x2−4)dy−(y2−3y)‌dx=0,
x>2,y(4)=‌

and the slope of the curve is never zero, then the value of y(10) equals :

[27-Jan-2024 Shift 2]

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