Evaluate :

Show that the function f defined as follows, is continuous at x = 2, but not differentiable:

OR

Find if

Evaluate :

OR

Evaluate :

Find the points on the curve y = x³ at which the slope of the tangent is equal to the y-coordinate of the point.

Find the general solution of the differential equation

OR

Find the particular solution of the differential equation satisfying the given conditions:

given that y = 1 when x = 0.