state gov RPSC 2nd Grade Senior Teacher Mock Test Series 2025 Mathematics Differential Equations

Let y = y(x) be the solution of the differential equation (x2 – 3y2) dx + 3xydy = 0, y(1) = 1. Then 6y2(e) is equal to

1
2e2
2
3e2
3
e2
4
\(\frac{3}{2}e^2\)
5
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