SSC JE Civil 6 Jun 2024 Shift 1 Paper

For a cantilever beam AB (A is fixed) of length L carrying a point load P at the free end, the slope equation obtained using double integration method is given below. Find the maximum deflection.
$\mathit{E}\mathit{I}\frac{\mathit{d}\mathit{y}}{\mathit{d}\mathit{x}}=-\mathit{P}\left(\mathit{L}\mathit{x}-\frac{{\mathit{x}}^2}{2}\right)$
E = Young's modulus
I = Moment of inertia
x is measured from the fixed end.