Solve the pure-time differential equation starting from the initial condition p(1) = 1, find p(2), and add

Question:

Solve the pure-time differential equation starting from the initial condition p(1) = 1, find p(2), and add the curve to your graph.
The above exercise compare the behavior of two similar-looking differential equations, the pure-time differential equation dp/dt = t and the autonomous differential equation db/dt = b.