[UPSC IFoS 2017] Electrostatics and Magnetostatics (Q100, 8M)

In a one-dimensional device, the charge density is given by \rho_V = \rho_0 \frac{x}{a}. If E = 0 at x = 0 and V = 0 at x = a, find V and E using Laplace equation of electrostatics.