List of practice Questions

Consider a differential equation:
\[ x^2 \frac{d^2y}{dx^2} + 3x\frac{dy}{dx} - 3y = 0 \]
with \(y = 3\) and \(\dfrac{dy}{dx} = -5\) at \(x = 1\).
The value of \(y\) at \(x = 2\) is ______ (rounded off to two decimal places).